7. Suppose that we have 4 dice labeled, A, B, C, and D. Each die has 6 sides, but the dice are numbered differently. The faces of die A are numbered (0, 0, 4, 4, 4, 4). The faces of die B are numbered (3, 3, 3, 3, 3, 3). The faces of die C are numbered (1, 1, 1,5,5,5). The faces of die D are numbered (2, 2, 2, 2, 6, 6). Consider the following game where we each roll a die, and the person that rolls the higher number wins. Since I'm the teacher, I get to pick the die I want first, and then you get to pick one of the remaining 3 dice. (a) For each die that I might pick, which die would you pick? (b) For each die that I might pick, what's your probability of winning?
7. Suppose that we have 4 dice labeled, A, B, C, and D. Each die has 6 sides, but the dice are numbered differently. The faces of die A are numbered (0, 0, 4, 4, 4, 4). The faces of die B are numbered (3, 3, 3, 3, 3, 3). The faces of die C are numbered (1, 1, 1,5,5,5). The faces of die D are numbered (2, 2, 2, 2, 6, 6). Consider the following game where we each roll a die, and the person that rolls the higher number wins. Since I'm the teacher, I get to pick the die I want first, and then you get to pick one of the remaining 3 dice. (a) For each die that I might pick, which die would you pick? (b) For each die that I might pick, what's your probability of winning?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:7. Suppose that we have 4 dice labeled, A, B, C, and D. Each die has 6 sides,
but the dice are numbered differently. The faces of die A are numbered
(0, 0, 4, 4, 4, 4). The faces of die B are numbered (3, 3, 3, 3, 3, 3). The faces
of die C are numbered (1, 1, 1, 5, 5, 5). The faces of die D are numbered
(2, 2, 2, 2, 6, 6).
Consider the following game where we each roll a die, and the person that
rolls the higher number wins. Since I'm the teacher, I get to pick the die I
want first, and then you get to pick one of the remaining 3 dice.
(a) For each die that I might pick, which die would you pick?
(b) For each die that I might pick, what's your probability of winning?
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