Question

2. Suppose I have a class with 12 boys and 10 girls. Find: (a) The probability that if I pick 4 people with replacement, exactly 3 of them are boys. (b) The probability that if I pick 4 people without replacement, exactly 3 of them are boys. (c) The probability that if I pick 5 people without replacement, I have at least one of each gender in my group of 5.

          2. Suppose I have a class with 12 boys and 10 girls.
Find:
(a) The probability that if I pick 4 people with replacement, exactly 3 of them are boys.
(b) The probability that if I pick 4 people without replacement, exactly 3 of them are boys.
(c) The probability that if I pick 5 people without replacement, I have at least one of each gender
in my group of 5.

2. Suppose I have a class with 12 boys and 10 girls.
Find:
(a) The probability that if I pick 4 people with replacement, exactly 3 of them are boys.
(b) The probability that if I pick 4 people without replacement, exactly 3 of them are boys.
(c) The probability that if I pick 5 people without replacement, I have at least one of each gender
in my group of 5.

Added by Christopher B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Shubham Sharma

Step 1

The probability of picking a boy is 12/22, and the probability of picking a girl is 10/22. The probability of picking exactly 3 boys can be calculated as follows: P(3 boys) = (12/22)^3 * (10/22)^1 * (4 choose 3) The term (4 choose 3) represents the number of Show more…

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Suppose I have a class with 12 boys and 10 girls. Find: a) The probability that if I pick 4 people with replacement, exactly 3 of them are boys. b) The probability that if I pick 4 people without replacement, exactly 3 of them are boys. c) The probability that if I pick 5 people without replacement, I have at least one of each gender in my group of 5.