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Please explain Suppose that I roll a fair die (meaning that each number from 1 to 6 is equally
likely) until I get a 6. What is the probability (in terms of k) that the first 6 appears the k^th time
I roll the die? Suppose Alice and Bob play a game where the alternate rolling the die: First Alice
rolls, then Bob, then Alice again, and so on. The first person to roll a 6 wins. What is the
probability that Alice wins this game?
Solution

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Please explain Suppose that I roll a fair die (meaning that each num.pdf

  • 1. Please explain Suppose that I roll a fair die (meaning that each number from 1 to 6 is equally likely) until I get a 6. What is the probability (in terms of k) that the first 6 appears the k^th time I roll the die? Suppose Alice and Bob play a game where the alternate rolling the die: First Alice rolls, then Bob, then Alice again, and so on. The first person to roll a 6 wins. What is the probability that Alice wins this game? Solution