5. Suppose you repeatedly toss a fair coin. (a) What is the probability of flipping two heads in a row before flipping a heads and then a tails? (b) What is the expected number of tosses until flipping two heads in a row? (c) What is the expected number of tosses until flipping a heads followed by a tails?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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5. Suppose you repeatedly toss a fair coin.
(a) What is the probability of flipping two heads in a row before flipping a heads and then
a tails?
(b) What is the expected number of tosses until flipping two heads in a row?
(c) What is the expected number of tosses until flipping a heads followed by a tails?
Transcribed Image Text:5. Suppose you repeatedly toss a fair coin. (a) What is the probability of flipping two heads in a row before flipping a heads and then a tails? (b) What is the expected number of tosses until flipping two heads in a row? (c) What is the expected number of tosses until flipping a heads followed by a tails?
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