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Independent flips of a coin that lands on heads with probability p are made. What is the
probability that the first four outcomes are (a) H,H,H,H? (b) T,H,H,H? 3 (c) What is the
probability that the pattern T, H, H, H occurs before the pattern H, H, H, H? Hint for part (c):
How can the pattern H, H, H, H occur first

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  • 1. Independent flips of a coin that lands on heads with probability p are made. What is the probability that the first four outcomes are (a) H,H,H,H? (b) T,H,H,H? 3 (c) What is the probability that the pattern T, H, H, H occurs before the pattern H, H, H, H? Hint for part (c): How can the pattern H, H, H, H occur first