What is the probability the committee contains

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1. A very large pool consists of 23% Democrats, 36% Republicans, and the rest independents. What is the probability that none are independents if 10 are selected at random?

2. A weighted coin with Pr[H]=0.3 is flipped 3 times. What is the probability the first and third flips are heads?

3. Suppose box A contains 2 red balls and 4 blue balls and box B contains 5 red balls and 3 blue ball. An experiment consists of drawing a ball from box A and then putting it in box B. A ball is then drawn from box B. What is the probability the first ball drawn was red given the second ball drawn was red?

4. Three people are selected for a committee from 5 Democrats and 4 Republicans. What is the probability the committee contains both Democrats and Republicans given that it contains at least two Democrats?

Reference no: EM132384831

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