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A coin is flipped five times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 5 from (H, T}, such as HHHTH. Assuming the coin is a fair coin, give the proba- bility of each event. (a) The first and last flips come up heads. (b) There are at least two consecutive flips that come up heads.

A coin is flipped five times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 5 from (H, T}, such as HHHTH. Assuming the coin is a fair coin, give the proba- bility of each event. (a) The first and last flips come up heads. (b) There are at least two consecutive flips that come up heads.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Discrete Mathematics
7 of 8 A coin is flipped five times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 5 from (H, T), such as HHHTH. Assuming the coin is a fair coin, give the proba- bility of each event. (a) The first and last flips come up heads. (b) There are at least two consecutive flips that come up heads. (c) The first flip comes up tails and there are at least two consecutive flips that come up heads. 108%. Pages 7 to 8 of 8 LT UTF-8. Ready Automatic en US
Transcribed Image Text:7 of 8 A coin is flipped five times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 5 from (H, T), such as HHHTH. Assuming the coin is a fair coin, give the proba- bility of each event. (a) The first and last flips come up heads. (b) There are at least two consecutive flips that come up heads. (c) The first flip comes up tails and there are at least two consecutive flips that come up heads. 108%. Pages 7 to 8 of 8 LT UTF-8. Ready Automatic en US
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