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Independent flips of a coin that lands on heads with
Chapter 3, Problem 59P(choose chapter or problem)
Problem 59P
Independent flips of a coin that lands on heads with probability p are made. What is the probability that the first four outcomes are:
H, H, H, HT, H, H, HWhat 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?
Questions & Answers
QUESTION:
Problem 59P
Independent flips of a coin that lands on heads with probability p are made. What is the probability that the first four outcomes are:
H, H, H, HT, H, H, HWhat 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?
ANSWER:Step 1 of 3
Let p = independent flips of a coin that lands head.
1 - p = independent flips of a coin that lands Tail.
a) The claim is to find the probability that the first four outcomes are H, H, H, H.
Then, P(H, H, H, H) = (p) (p) (p) (p)
=
Hence, the probability that the first four outcomes are H, H, H, H, is .