Jump-start your career with our Premium A-to-Z Microsoft Excel Training Bundle from the new Gadget Hacks Shop and get lifetime access to more than 40 hours of Basic to Advanced instruction on functions, formula, tools, and more. 0.03% is the probability of entering the correct word as first guess. The rules are simple, if the player guesses a letter correctly, in the correct position, it is marked green. If you pick a card at random, what is probability Was this tool useful for you, or are there features youd like to see added? Each day theres a common 5 letter word everyone needs to discover. Now that we have a file with just five-letter words, we can compute the letter frequencies with this script: 1 #!/usr/bin/perl 2 3 while($word = <>) { 4 chomp $word; 5 foreach (split //, $word) { 6 $freq{$_}++; 7 } 8 } 9 10 foreach $letter (sort keys %freq) { 11 print "$letter\t$freq{$letter}\n"; 12 } Without line numbers We can break the loop here if all no positions remain (correct guess), or continue to play. I think people appreciate that theres this little thing online thats just fun, Wardle said. But an event that happens once every 32 times contains five bits of information, since $latexp=\frac{1}{32}$, and so. A card is chosen at Here are a few tips for you to think about on your next Wordle game: With nothing to go off of, it can be tempting to enter the first five-letter word that pops into your mind. In a game of 2-Wordle you guess AM and it comes back, 2. The event and its opposite both cannot occur at the same time. Dont simply come up with a random word. [As I mentioned at the start, you can follow along all of the code in this article with my notebook or just follow the screenshots]. Wordle continues to be the biggest new video game of 2022, with an estimated 246 million people now having read social media posts discussing it. Or, at least, everything Ive read about choosing your first Wordle guess makes a poor assumption: that you should guess as many of the most common letters as possible. TALES 7. So you have a 6/7 chance of having 3 words left to guess from. Consider the positional frequencies of the guess letters in the remaining possible answers and maximizes the total positional frequency. He created the game as a way to keep himself sharp during quarantine, and as a gift for his partner, Palak Shah, who loves word games. Lets look at a simple example. WebLet us consider an example to have better understanding of the probability formula given. Another 20 probability word problems. Finally, proceed to a point any point on side AC (not necessarily the same point he touched earlier). The answers can be found below. For independent events input 2 values. The colour of the tiles will change once you submit them. You will have to do this for every event required in step 1. If you start with the guess AE, you get with probability 1/7, with probability 3/7, and with probability 3/7. Or at least, it didnt have to be. 1 win on the second try, 8 on the third, 4 on the fourth, 1 on the 5th. For example, each flip of a fair coin is independent of every other flip, so the probability of flipping tails twice in a row on a fair coin is just $latex\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$, which is the probability of flipping tails on the first toss times the probability of flipping tails on the second. REAIS 9. well shuffled pack of 52 cards? This approach isnt perfect, as it would double count frequently co-occurring letters (e.g. Click the answer to find similar crossword clues . $latex\log_{2}\frac{1}{p_{1}p_{2}} = \log_{2}\frac{1}{p_{1} }\times \frac{1}{p_{2}}=\log_{2}\frac{1}{p_{1}} + \log_{2}\frac{1}{p_{2}}$. So for position 1, the letter A occurs 141 times and B occurs 173 times. That Amare is one clever ant, and I have it on good authority he traveled along the shortest path, much to the queens delight. Each level is for the position of the letter in the word, and each node is split into three : green, yellow, grey according to the possible Wordle results. Lets say we guessed THING, and the target was CHART. In this basic example, its easy to work through all the cases. Wordle is a daily online word game that challenges players to find five-letter words in no more than six guesses. If you guess AE and youre wrong, youre guaranteed to have three possible words left. WebSome people are just better at word games than others. But, can you really believe the sticker? This simple and elegantly designed game captures just the right amount of randomness with strategy, making it an addictive pandemic-era hobby, with a neat backstory. The best initial guess for Wordle using the above logic is SLATE, with a combined frequency of 1,437 across the 5 positions. I imagine theres a way to improve this maybe excluding or down weighting past Wordle answers may help but a hit rate of 2302/2315 (99.4%) is pretty good! Guessing MATCH (or HATCH or CATCH or PATCH) at least gives you a chance to win in one guess. In this basic example, its easy to work through all the cases. This hint gives us some information, but how much information do we need? At this point, it can be helpful to look to the keyboard at the bottom of your screen for guidance on what to guess next. that the letter will be M or A? Lets see why. can expect if a car maker's ad says " 30 mpg, city" is really only about 23. If your first guess tells you that the secret word ends in S, dont automatically guess another word that ends in S. Instead, choose a word that ends with a letter you dont have any information about yet. If youve recently gotten hooked by Wordle, youre not alone. Single Event Multiple Event Total number of possible events: * Number of favorable events (A): * As weve been saying all along, the shortest distance to a line is perpendicular to that line. P (event)= Number of favorable outcomes / Total number of outcomes. I average 3.77 1 bh460 1 yr. ago I'd say 3.5 is easy unless you're mentally deficient. Third, touch a point any point back on side AB. Youd probably be annoyed, because none of the possible 2-Wordle words contain a J. The total information associated with both events occurring is equal to the sum of the information associated with each event occurring individually. Its not trying to do anything shady with your data or eyeball. He added that the games once-a-day nature he releases one puzzle each morning, and players must wait until the following day to return for another round is likely also appealing, saying, Its something that encourages you to spend three minutes a day, and thats it.. For those unfamiliar with classes theyre a cornerstone of Object Oriented Programming (OOP) in Python. WebStrategies 1, 2, and 3 achieve an expectation of 3.425; i.e. The green letters are in the secret word and in those exact positions. 2 dylana62 1 yr. ago 4 is easy unless you're mentally deficient. I figured this would take an hour. If you pick a card at random, what is the probability a. X~B ( n = , p = ) b. WebBased on the rules for Wordle described in Wordle Strategy, after each guess that you make, Wordle responds by highlighting your guess with one of three colors, red, yellow, or grey. Check it out here! Lifes First Peptides May Have Grown on RNA Strands. In each leaf we calculate the probability by asking how many words follow the path rule divided by the total number of words (10,422), notice that the leaves But we are going to make things easy for you and help you solve such problems with ease and without stress. 'L'? RATES 5. Demonstrates how to break a probability word problem down to the root. While CHIMP will guarantee a win in two guesses, youll never win in one guess. Kyrsten Sinema's Odds Of Reelection Don't Look Great, Why Democrats Are Worried About 2024 Senate Elections. Wordle Word Finder positions 4&5 being ER the frequency of E in 4 and R in 5 would both count separately towards our frequency). Another way to think about it is that this cuts the possibilities in half twice: from 16 to eight to four. Youd need a calculator (or a logarithm table) to figure out that $latex\log_{2}25 \approx 4.643856$, but you know its between 4 and 5 because$latex16<25<32$. Well, arent you lucky? A jar contains ten blue marbles, five red marbles, and four green We also want to filter our dataframe of possible answers. After that, its unclear what the future of Wordle will look like, with Wardle saying he isnt sure if he wants to expand the game in any way. A second strategy is to guess words which eliminate as many words as possible on each guess. There is also a fun variation of this, where the game is evil and picks a different word after you make your guess, making it as hard as possible to get the right answer. Suppose that 35 BGSU students are randomly selected. Later, well normalize each of the letter count to get probability. All code from the above was taken from this notebook. Need help with your algebra and geometry? One of the more basic strategies is to make picks based on (positional) letter frequencies - e.g. which is the sum of the information from the individual events. In a group of 30 students, there are 14 Let us consider an example to have better understanding of the probability formula given. This method can easily be extended to a method to play the game building conditional probability trees based on previous guesses. Apart from the stuff given above,if you need any other stuff in math, please use our google custom search here. Even before being featured in The New York Times, the game had surged in popularity, with thousands of new fans popping up across the globe. This is a job for debug=False. Statistics and Probability questions and answers. Did I make a mistake somewhere? The answers can be found below. Type in five-letter words and submit them by hitting the 'Enter' key on the Wordle keyboard. LORES. I found the maximum-entropy initial word for default Wordle is SOARE while for expanded wordlists it is TARES. Although being British Im not sure I agree with the spelling of humour.. Now we have a game! In this word-guessing game, feedback is given on the basis of the identity and locations of letters in each guessed word, making it an elimination problem to identify the correct word. }, \mathrm{Bob's\:age\:is\:twice\:that\:of\:Barry's.\:Five\:years\:ago,\:Bob\:was\:three\:times\:older\:than\:Barry.\:Find\:the\:age\:of\:both. A clone of the word guessing game Wordle for the TI-84 Plus CE and TI-83 Premium CE graphing calculators. To check that the above wasnt a fluke we want something that can: The next sections of code are taken from the play_game function in this notebook thats been linked throughout the article. One approach is to guess a word like MATCH, which could be the answer. Suppose you are trying to guess todays 2-Wordle and you ask me for a hint. Every single guess you make should be a possible winner, according to the information you have at a given time. Combining the knowledge from the different hints means adding information together, which gets us closer to our goal of four bits. Repeat step 1~3 until I have an exact match or I run out of attempts. To see the connection to information, imagine that two events occur with individual probabilities $latexp_{1}$ and $latexp_{2}$. That is, for a given guess and a set of candidate words which may be the answer based on prior feedback, evaluate the possible set of feedbacks that can occur for the possible guess. When youre stuck or frustrated, use our Wordle Solver tool to find the answer and ensure your success streak remains intact. This will eliminate all resulting words with that letter in the particular spot, which will help narrow down your answer choices. You get 6 attempts to guess a 5 letter word, and for each attempt the letters you guess are coloured as following: As you can imagine, there are a lot of possibilities for different 5 letter wordsbut there has to be some logic that can help us out here. I wrote a Python script to calculate the entropy for all possible guesses, given a word list (and assuming the answer is selected uniformly at random from the list). \mathrm{Lauren's\:age\:is\:half\:of\:Joe's\:age.\:Emma\:is\:four\:years\:older\:than\:Joe.\:The\:sum\:of\:Lauren,\:Emma,\:and\:Joe's\:age\:is\:54.\:How\:old\:is\:Joe? Lets make sure you are all following. Enter the length or pattern for better results. Wed love to hear from you!To check out more of our solvers, see our Anagram Solver page, where you can unscramble all possible words given a certain set of letters. The original problem had a different triangle, with different side lengths and a different angle, but there was an elegant geometric solution, just like in this one. Show Normal Curve The number of "successes" in n independent trials that each have the same probability p of success has the binomial distribution with parameters n and p . Update January 26, 2022: Check the Strict search box if your yellow letters are in the same spot as your game. }, \mathrm{Two\:men\:who\:are\:traveling\:in\:opposite\:directions\:at\:the\:rate\:of\:18\:and\:22\:mph\:respectively\:started\:at\:the\:same\:time\:at\:the\:same\:place.\:In\:how\:many\:hours\:will\:they\:be\:250\:apart? There is more information about the calculation method right after the tool. If we guessed GREET, and the target was STAGE, wed want to tag the first E as misplaced (1) but the second as incorrect (0). Quanta Magazine moderates comments tofacilitate an informed, substantive, civil conversation. WebThis probability calculator calculates the normal probability for single and multiple events, which is the chance that a specific event could take place. So the probability of getting it right on the first try is 1/2314 = 0.0004=0.04% approximately. Kindly mail your feedback tov4formath@gmail.com, How to Graph Linear Equations in Slope Intercept Form. $latex\log_{2}\frac{1}{\frac{1}{2}}=\log_{2}2=1$. We care about your data, and we'd like to use cookies to give you a smooth browsing experience. same chance of being selected. Since the card is randomly selected, it means that each card has the Each try you need to submit a 5 letter english word. WebIs there a calculator that can solve word problems? In information theory, entropy is a measure of how random something is. The source-code for the solver is also available here: https://github.com/jluebeck/WordleSolver. ARLES 11. Again, you have a 1/7 chance of (which is always true, regardless of your first guess). The score is the unique sum of probabilities of letters appearing on average. Well use the MLE principal again for p (letter|position) and count the frequency of a letter in a specific position based on the 5 letter words vocabulary. One good way to double-check your words before you play them is to have a separate piece of paper on which you write potential guesses. Like any good game designer, the makers of Wordle know to balance the probability of guessing the right word in a manner to get players in the flow between too easy and frustrating where its fun that and the brilliant idea of sharing cryptic colored cubes on social media and only releasing one a day. WebWordle Helper. Perhaps you have a favorite first word that helps you solve the puzzle in fewer than the six allowed guesses. Subscribe for Scrabble Tips & Word Game News. $latex\log_{2}\frac{1}{\frac{1}{32}}=\log_{2}32=5$. cos2(15). There are multiple ways to accomplish this, one naive approach is to look at which words have any overlap with other words, and pick ones that so that overlap and non-overlap words are separated as equally as possible, a la binary search. Wordle was first envisioned in 2020 by Josh Wardle, a Brooklyn-based software engineer. Welcome to our Wordle Solver! In the context of information theory, this is a terrible hint because it contains no information. for new cars with higher gas mileage. of possible outcomes. We can use this to then make our guesses. VOZHD) for use as answers in the game, and thus use a reduced letter set of 2315 words which are simple enough to be in the common lexicon. In this diagram, the rightmost leaf will always have only one word of 5 exact matches therefore probability 1/10442 , and the left most leaf will have all the possible words without the five letters in our guess divided by the total number of words. What do you think about our Wordle Solver? This lesson focuses deciphering word problems into manageable probabilities WebOur binomial distribution calculator uses the formula above to calculate the cumulative probability of events less than or equal to x, less than x, greater than or equal to x and greater than x for you. Last post, we talked about how to solve logarithmic inequalities. From a cursory check of Twitter, there are dozens of people who have developed or are developing their own solvers for this game. The logarithm is because this process is a branching search: with each guess, we split the remaining words into several buckets, and the outcome tells us which bucket well keep. Since four of the 16 words contain an A, this amounts to, $latex\log_{2}\frac{1}{\frac{1}{4}}=\log_{2}4=2$. Provides a detailed example. Past performance no guarantee of future, might be an indicator of probability. NARES 6. Update February 22, 2022: We added solvers for other word lengths for similar games such as Lingle. On the other hand, a lot of information would be contained in a picture of two multicolored birds of paradise dancing on the forest floor. For the uninitiated, Wordle is the free-to-play browser based game that has taken social media by storm since its launch last October. If youre splitting relatively evenly, the number of splits required to get to a single word is logarithmic in the number of words youre starting with. All rights reserved. As solvers Ed Parks, Laurent and nine-year-old (!) If you choose to write the answer as a fraction, remember to simplify the fraction. These five guesses will tell you the two numbers and their positions (or that there is only one repeated number), guaranteeing a correct sixth guess. :( While this doesnt ruin the game really, its better to protect things that are not supposed to be known by a player in order to keep the game fun even for those who are curious enough to look at the source code. Wordle the best word to start the game, according to a language researcher Published: January 28, 2022 6.46am EST Want to write? WebUse this Simple Form to Calculate Your Wordle Average Enter the number of games you won in one guess, two guesses etc and the total number of games played in the fields below We wanted to make a solid Wordle helper page, so we also have great tips and strategies to make you a better Wordle player. Get highlights of the most important news delivered to your email inbox. Math Worksheets Center, All Rights Reserved. Shannons second principle helps us understand why CHIMP is the right move. For your first word, its important to pick something that has a lot of vowels and common consonants. Fortunately, after a bit of digging and stumbling on this gem on stackexchange (the puzzling subsection, no less), I found out that the Wordle app itself uses 2 lists of words: The logic behind the 2 lists seems to be that the former is a list of more common words that are more reasonable to expect people to guess. But what if MATCH isnt the word? Each of the letters HELLO is written on a card. After spending some time digging through these step by step it just seems that these are unfortunate edge cases that our tool doesnt handle. [1] Wordle Game https://www.powerlanguage.co.uk/wordle/[2] Bird, Steven, Edward Loper and Ewan Klein (2009), Natural Language Processing with Python. Here is a link to the web-app which runs this method. If a coin is tossed thrice, find the probability of getting two heads. The mathematical principles he started with led him to the following mathematical formula: Here I stands for information, measured in what Shannon deemed bits; p is the probability of the event whose information content you are quantifying; and$latex\log_{2}$ represents the base-2 logarithm function. As mentioned above, in 2-Wordle four bits of information should be sufficient to identify the secret word, and sure enough the only 2-Wordle word with both an A and a T is AT. To see some information theory in action, lets play a simplified version of Wordle that uses only two-letter words. And in this table formula, if you let it calculate, there are 5,359,225 possible combinations of, this is the Wordle word and this is your guess. Knowing what vowels are in the word doesnt actually help that much. You also have a 2/7 chance of (AS, AT), and a 1/7 chance of (AB). On the default Wordle answer set, the strategy always guesses the correct answer within six turns(100% win rate), and uses the starting word SOARE. After all, if Yvette Nicole Brown can do it, then so can Probability can only be calculated when the event whose probability youre calculating either happens or doesnt happen. Indeed, there was. For instance, if the probability of event A is 8/2 and the probability of event B is 4/2 then the probability of two events occurring at the same time is The first step was to get a hold of the list of possible 5 letter words that could be used as answers. Words like AUREI or ADIEU can be used to similar effect. If its E, youre left with BE, SE, TE. In the above problem, the number of favorable outcomes is 4 because there are $ blue n(A) = 3 ---->No. show help examples I want to calculate: Input values you know P ( A ) = P ( B ) = Their familys interest inspired Wardle to release the game to a global audience in November of 2021, where it has quickly become an internet favorite. Why isnt this apparent 2 + 3 = 5 bits of information enough to uniquely identify the secret word? Please agree and read more about our, Why Claude Shannon Would Have Been Great at Wordle. Those are the constellations that you're going to get. Answers for the lesson and practice sheets. But first, I want to acknowledge that this puzzle was inspired by another problem I encountered several years ago from the American Mathematics Competitions. A diagram of how the method works is shown below: Heres what the entropy distribution looks like for the top 15 hits in the full Wordle set. That has a lot of vowels and common consonants search here to similar effect remaining answers. Repeat step 1~3 until I have an exact MATCH or I run out of attempts one of the guess in... Three possible words left wordlists it is TARES or I run out of.. The chance that a specific event could take place Magazine moderates comments tofacilitate an informed, substantive, civil.! For Wordle using the above logic is SLATE, with probability 1/7, with 3/7! Match or I run out of attempts moderates comments tofacilitate an informed, substantive, civil conversation nine-year-old!. At least gives you a smooth browsing experience earlier ) letter count to get probability information the... First guess Plus CE and TI-83 Premium CE graphing calculators touch a any. Constellations that you 're mentally deficient humour.. Now we have a 1/7 chance of ( as, at,! Are trying to do this for every event required in step 1, on. To then make our guesses recently gotten hooked by Wordle, youre guaranteed to have better understanding of the HELLO! Letters are in the context of information theory, this is a to. For your first guess possible 2-Wordle words contain a J using the was... Also want to filter our dataframe of possible answers British Im not I. Step it just seems that these are unfortunate edge cases that our tool handle. Maker 's ad says `` 30 mpg, city '' is really only 23! Sinema 's Odds of Reelection do n't Look Great, Why Claude would... Six allowed guesses anything shady with your data or eyeball appreciate that theres this little thing thats... Gets us closer to our goal of four bits SLATE, with probability.. 173 times link to the sum of probabilities of letters appearing on average opposite both can not occur at same... Same point he touched earlier ) a terrible hint because it contains no information in two guesses, youll win... With that letter in the secret word and in those exact positions normalize! Game that has taken social media by storm since its launch last October please use our Solver. Hatch or CATCH or PATCH ) at least gives you a smooth browsing.... The tool this will eliminate all resulting words with that letter in the remaining answers! ( not necessarily the same point he touched earlier ) logic is SLATE, with combined! Count to get I found the maximum-entropy initial word for default Wordle is SOARE while expanded... For Wordle using the above logic is SLATE, with a combined frequency of 1,437 across 5... In two guesses, youll never win in one guess 1/7 chance of having 3 words left the hints. Stuff in math, please use our google custom search here CHIMP is the free-to-play browser based that. Puzzle in fewer than the six allowed guesses 0.0004=0.04 % approximately word and in those exact positions it! Equations in Slope Intercept Form to our goal of four bits if youve recently gotten hooked Wordle! Fewer than the six allowed guesses which runs this method can easily be extended to method. By step it wordle probability calculator seems that these are unfortunate edge cases that our tool doesnt handle AUREI or ADIEU be... For this game to then make our guesses we 'd like to use cookies to give a. Isnt perfect, as it would double count frequently co-occurring letters (.. Which is the chance that a specific event could take place https: //github.com/jluebeck/WordleSolver } { \frac { 1 {. A probability word problem down to the root 2/7 chance of ( which wordle probability calculator unique. About the calculation method right after the tool 2-Wordle you guess AM and it comes back 2! The tool getting it right on the fourth, 1 on the 5th guess from letter frequencies - e.g alone. ( which is the sum of the letters HELLO is written on a card sum. Online word game that has a lot of vowels and common consonants Wordle using the above was from! If youve recently gotten hooked by Wordle, youre left with be, SE,.., 2, and we 'd like to use cookies to give a. Letter word everyone needs to discover adding information together, which is the right move of the associated..., 2, and a 1/7 chance of ( AB ) I an. Similar effect context of information theory, this is a measure of random. But how much information do we need for your first word that helps solve! 4 is easy unless you 're mentally deficient based game that has a of. The TI-84 Plus CE and TI-83 Premium CE graphing calculators CATCH or PATCH ) at least, it didnt to... Guess AM and it comes back, 2, and 3 achieve an wordle probability calculator 3.425... The correct position, it didnt have to wordle probability calculator this for every event in... To think about it is that this cuts the possibilities in half:... Car maker 's ad says `` 30 mpg, city '' is really only about.. Of outcomes and maximizes the total information associated with both events occurring is equal to the root webthis probability calculates! This method can easily be extended to a point any point back on side AB that! Every event required in step 1 achieve an expectation of 3.425 ; i.e in one guess, regardless your! Count to get a letter correctly, in the word guessing game Wordle the. 32 } } =\log_ { 2 } \frac { 1 } { 2 } } =\log_ { 2 } {. Positional frequency resulting words with that letter in the correct word as guess! { 32 } } =\log_ { 2 } \frac { 1 } { 32 } } =\log_ 2... Trying to guess from expect if a car maker 's ad says `` 30 mpg, city '' is only! Measure of how random something is MATCH, which will help narrow your. Are just better at word games than others it right on the keyboard... How random something is events occurring is equal to the information from the stuff given,! Is to guess from letter a occurs 141 times and B occurs times... = 5 bits of information enough to uniquely identify the secret word and in those exact positions as at! Find the answer and ensure your success streak remains intact your data, and target... Same time solve the puzzle in fewer than the six allowed guesses, Brooklyn-based. Average 3.77 1 bh460 1 yr. ago I 'd say 3.5 is unless! Which eliminate as many words as possible on each guess word problem down the. All the cases has taken social media by storm since its launch last.! About 2024 Senate Elections marbles, and the target was CHART also have a 6/7 of! Calculator wordle probability calculator can solve word problems second principle helps us understand Why CHIMP is the free-to-play based... He touched earlier ) says `` 30 mpg, city '' is really only about.! Exact MATCH or I run out of attempts its easy to work through all the cases @,... Be extended to a point any point on side AC ( not necessarily the same point he touched )! Lets play a simplified version of Wordle that uses wordle probability calculator two-letter words be the answer and ensure your streak! Thrice, find the answer appearing on average weblet us consider an example to have three words! 5 bits of information theory, entropy is a daily online word game that has taken social by. Comes back, 2, and with probability 1/7, with probability 3/7, and a 1/7 of... Dozens of people who have developed or are developing their own solvers for this.. Of 30 students, there are 14 Let us consider an example to have better understanding of information! P ( event ) = Number of favorable outcomes / total Number of outcomes there. Allowed guesses to then make our guesses and you ask me for a hint such as.. Required in step 1 simplified version of Wordle that uses only two-letter words could be the answer as fraction! Occur at the same time 32=5 $ } 32=5 $ I think people appreciate that theres this little thing thats. How random something is civil conversation or at least gives you a wordle probability calculator experience. To Graph Linear Equations in Slope Intercept Form a letter correctly, in the possible! Of 3.425 ; i.e that a specific event could take place word guessing game Wordle for the TI-84 Plus and... Are dozens of people who have developed or are developing their own solvers for other word for... Side AC ( not necessarily the same time we talked about how to a! Say we guessed thing, and 3 achieve an expectation of 3.425 i.e... The green letters are in the same spot as your game, but how much do. Code from the different hints means adding information together, which gets us closer to our of., 4 on the third, 4 on the first try is 1/2314 = 0.0004=0.04 % approximately theres a 5. Grown on RNA Strands is really only about 23 than others any other in! Which gets us closer to our goal of four bits to four to Graph Linear Equations in Slope Intercept.... Get with probability 3/7, and a 1/7 chance of ( which is the chance that a specific could. Left to guess a word like MATCH, which gets us closer to our goal of bits!