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Question 1. Consider a scenario in which you flip a coin ten times in a row. (a) If the coin is a fair coin, what is the probability that you get H exactly 3 times? (b) If the coin is a fair coin, what is the probability that you get T at least once? (c) If the coin is a fair coin, what is the probability that you get H at least 4 times? (d) fain flim

Question 1. Consider a scenario in which you flip a coin ten times in a row. (a) If the coin is a fair coin, what is the probability that you get H exactly 3 times? (b) If the coin is a fair coin, what is the probability that you get T at least once? (c) If the coin is a fair coin, what is the probability that you get H at least 4 times? (d) fain flim

A First Course in Probability (10th Edition)
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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Question 1. Consider a scenario in which you flip a coin ten times in a row. (a) If the coin is a fair coin, what is the probability that you get H exactly 3 times? (b) If the coin is a fair coin, what is the probability that you get T at least once? (c) If the coin is a fair coin, what is the probability that you get H at least 4 times? (d) If the coin is a fair coin, what is the probability that the last three flips are H given that the first three flips were H? Are these two events independent? Explain your answer. (e) If the coin is a fair coin, what is the probability that there are exactly 5 H given that the first 2 flips are T? Are these two events independent? Explain your answer. (f) Answer (a) through (c) again for a coin that is weighted so that H appears 4 times as often as T.
Transcribed Image Text:Question 1. Consider a scenario in which you flip a coin ten times in a row. (a) If the coin is a fair coin, what is the probability that you get H exactly 3 times? (b) If the coin is a fair coin, what is the probability that you get T at least once? (c) If the coin is a fair coin, what is the probability that you get H at least 4 times? (d) If the coin is a fair coin, what is the probability that the last three flips are H given that the first three flips were H? Are these two events independent? Explain your answer. (e) If the coin is a fair coin, what is the probability that there are exactly 5 H given that the first 2 flips are T? Are these two events independent? Explain your answer. (f) Answer (a) through (c) again for a coin that is weighted so that H appears 4 times as often as T.
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