Answer: An unfair coin shows HEADS with probability p and TAILS with probability 1 p
Chapter 32, Problem 32.31(choose chapter or problem)
An unfair coin shows HEADS with probability p and TAILS with probability 1 p (see Example 32.9). Suppose this coin is tossed twice. Let A be the event that the coin comes up first HEADS and then TAILS, and let B be the event that the coin comes up first TAILS and then HEADS. a. Calculate P .A/. b. Calculate P .B/. c. Calculate P .AjA [ B/. d. Calculate P .BjA [ B/. e. Explain how to use an unfair coin to make a fair decision (choose between two alternatives with equal probability).
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