You have two fair coins and a biased coin in a bag. The probability for heads showing up on a toss of the biased coin is . You randomly pick one of the three coins and toss it six times. What is the probability that you have exactly three heads in your six tosses?

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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You have two fair coins and a biased coin in a bag. The probability for
heads showing up on a toss of the biased coin is . You randomly pick one of the three
coins and toss it six times. What is the probability that you have exactly three heads in
1
your six tosses?
Transcribed Image Text:You have two fair coins and a biased coin in a bag. The probability for heads showing up on a toss of the biased coin is . You randomly pick one of the three coins and toss it six times. What is the probability that you have exactly three heads in 1 your six tosses?
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