1. A coin is flipped four times. Assume all outcomes are equally likely. What is the probability that there are at least two consecutive flips that come up heads? 2. A hand of 5 cards is drawn from a standard deck of 52 cards. Assume all outcomes are equally likely. What is the probability that at least two of the cards have the same rank? Hint: Find the probability of the complement.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section17.6: Absorbing Chains
Problem 7P
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1. A coin is flipped four times. Assume all outcomes are equally likely. What is the
probability that there are at least two consecutive flips that come up heads?
2. A hand of 5 cards is drawn from a standard deck of 52 cards. Assume all outcomes are
equally likely. What is the probability that at least two of the cards have the same rank?
Hint: Find the probability of the complement.
Transcribed Image Text:1. A coin is flipped four times. Assume all outcomes are equally likely. What is the probability that there are at least two consecutive flips that come up heads? 2. A hand of 5 cards is drawn from a standard deck of 52 cards. Assume all outcomes are equally likely. What is the probability that at least two of the cards have the same rank? Hint: Find the probability of the complement.
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