HW1 - Math98 HW1 : due September 8 Here is a simple game: a...

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Unformatted text preview: Math98 HW1 : due September 8 Here is a simple game: a player can roll a fair, six-sided die up to three times. After each roll a player may stop the game and receive \$1 for each dot on the upturned die. The player has to roll at least once, and the game automatically stops after the third roll. For example, if a player rolls 1, rolls 4, and then stops, the player receives \$4 . The purpose of this exercise is to determine a good strategy to play this game, one that maximizes the chances of winning the most money. a. The MATLAB command rand yields a uniformly distributed, random number between 0 and 1. Therefore the statement ceil(6*rand) provides a 1 , 2 , 3 , 4 , 5 or 6 each with probability 1 / 6. We may thus interpret the result of the above MATLAB statement to be the occurrence of a roll of a fair, six-sided die. Use the above command to simulate rolls of a die when you implement a MATLAB function of the form function Strategy(minFirstRoll,minSecRoll) ....
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This note was uploaded on 01/21/2012 for the course MATH 98 taught by Professor Instuctor during the Spring '08 term at Berkeley.

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