Problem 5 What is the conditional probability that exactly four heads appear when a fair coin isflipped five times, given that the first flip came up heads?

Exactly four heads appear Fair coin is flipped five times

Answered: Problem 5 What is the conditional…

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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1) A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads?
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1. Alice tosses 3 coins and Bob tosses 2 coins. Each coin has probability of heads 1/2. What is the probability that Bob gets no less heads than Alice?
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Problem 1 Suppose Mike is playing a game. He first rolls a fair four-sided die. Then, he picks balls from an urn containing 2 white balls and 3 black balls with replacement for the number of times that was showing up on the die. What is the probability that he picked the white balls at least 3 times? (You may leave your answer without simplification)
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Two buckets are lying on a table. Bucket #1 has five red and two yellow balls in it. Bucket #2 contains three red and four yellow balls. In all of the questions below, the buckets start with this composition. Two balls are drawn at random from bucket #1. What is the probability that one is red and one is yellow? One ball is drawn at random from bucket #1 and placed into bucket #2. One ball is then drawn from bucket #2. What is the probability that this ball is red? Balls are drawn one by one from bucket #2 until a red ball is drawn. What is the probability that the first red ball is drawn on the third draw.
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Problem 5 What is the conditional probability that exactly four heads appear when a fair coin is flipped five times, given that the first flip came up heads?