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Problem 9 A single game of craps (a dice game) consists of at most two rolls...

Question:

Problem 9 A single game of craps (a dice game) consists of at most two rolls of a pair of six sided dice. The ways to win are as follows: Win-the first roll of the pair of dice sums to either 7 or 1 (you win, game over, no second roll Win the first roll of the pair of dice does NOT sum to either 7 or 1 but the sum of the second roll is equal to the sum of the first roll (for example, if you rolled a combined 10 in roll one, rolling a combined10 in roll two- win) Calculate the odds of winning a single game of craps. Show your thought process (equations) P(win craps) ?? Problem 10 Below is a working Matlab program to simulate many games of craps. The program plays 10,000 games, and determines Prob win. Code this program and play 10,000 games 10 separate times. Make a table of P(win craps) with your ten results. How can you use this table to determine the accuracy of your game simulation? simulate the odds of winning at craps % CES 5010 clear num-10000 -cei 1( rand (num ,4)*6); try . help rand, and heiP ceil to whats happening see for i 1: num sumn1m(1,1)%(1,2); win-win+1: else EmailSave win win Prob win win/nu disp(lProbability
Problem 9 A single game of craps (a dice game) consists of at most two rolls of a pair of six sided dice. The ways to win are as follows: Win the first roll of the pair of dice sums to either 7 or 11 (you win, game over, no second roll) Win- the first roll of the pair of dice does NOT sum to either 7 or 11, but the sum of the second roll is equal to the sum of the first roll (for example, if you rolled a combined 10 in roll one, rolling a combined10 in rol two win) Calculate the odds of winning a single game of craps. Show your thought process (equations) P(win craps)-??
Problem 9 A single game of craps (a dice game) consists of at most two rolls of a pair of six sided dice. The ways to win are as follows: Win-the first roll of the pair of dice sums to either 7 or 1 (you win, game over, no second roll Win the first roll of the pair of dice does NOT sum to either 7 or 1 but the sum of the second roll is equal to the sum of the first roll (for example, if you rolled a combined 10 in roll one, rolling a combined10 in roll two- win) Calculate the odds of winning a single game of craps. Show your thought process (equations) P(win craps) ?? Problem 10 Below is a working Matlab program to simulate many games of craps. The program plays 10,000 games, and determines Prob win. Code this program and play 10,000 games 10 separate times. Make a table of P(win craps) with your ten results. How can you use this table to determine the accuracy of your game simulation? simulate the odds of winning at craps % CES 5010 clear num-10000 -cei 1( rand (num ,4)*6); try . help rand, and 'heiP ceil' to what's happening see for i 1: num sumn1m(1,1)%(1,2); win-win+1: else EmailSave win win Prob win win/nu disp(l'Probability
Problem 9 A single game of craps (a dice game) consists of at most two rolls of a pair of six sided dice. The ways to win are as follows: Win the first roll of the pair of dice sums to either 7 or 11 (you win, game over, no second roll) Win- the first roll of the pair of dice does NOT sum to either 7 or 11, but the sum of the second roll is equal to the sum of the first roll (for example, if you rolled a combined 10 in roll one, rolling a combined10 in rol two win) Calculate the odds of winning a single game of craps. Show your thought process (equations) P(win craps)-??

Answers

P Wan cr (Sun ofiret oil of pair 4 ieo11) or 1 Denote . p(win Cr Note thod Sum dt roll iu fo 따 3 6 5-4/36 /3 6 -6/36 5736 3C 36 10 _ 3136 6 刊9 31 , 36 3636 3636 36.36 支ハ36 t 16+25+25+16 49t ) 2 106 q36X36 36X36 36 X18 (0.304

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