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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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