Die A has four 9's and two 0's on its faces. Die B has four 3's and two 11's on its faces. When either of these dice is rolled, each face has an equal chance of landing on top. Two players are going to play a game. The first player selects a die and rolls it. The second player rolls the remaining die. The winner is the player whose die has the higher number on top. A) suppose you are the first player and you want to win the game. Which die would you select? Justify your answer. B) suppose the player using die A receives 45 tokens each time they win the game. How many tokens must the player using die B receive each time they win in order for this to be a fair game? Explain how you found the answer. (A fair game is one in which the player using die A and the player using die B both end up with the same number or tokens in the long run.)
Die A has four 9's and two 0's on its faces. Die B has four 3's and two 11's on its faces. When either of these dice is rolled, each face has an equal chance of landing on top. Two players are going to play a game. The first player selects a die and rolls it. The second player rolls the remaining die. The winner is the player whose die has the higher number on top. A) suppose you are the first player and you want to win the game. Which die would you select? Justify your answer. B) suppose the player using die A receives 45 tokens each time they win the game. How many tokens must the player using die B receive each time they win in order for this to be a fair game? Explain how you found the answer. (A fair game is one in which the player using die A and the player using die B both end up with the same number or tokens in the long run.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Die A has four 9's and two 0's on its faces. Die B has four 3's and two 11's on its faces. When either of these dice is rolled, each face has an equal chance of landing on top. Two players are going to play a game. The first player selects a die and rolls it. The second player rolls the remaining die. The winner is the player whose die has the higher number on top.
A) suppose you are the first player and you want to win the game. Which die would you select? Justify your answer.
B) suppose the player using die A receives 45 tokens each time they win the game. How many tokens must the player using die B receive each time they win in order for this to be a fair game? Explain how you found the answer. (A fair game is one in which the player using die A and the player using die B both end up with the same number or tokens in the long run.)
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