A population of 10 items contains 3 that are red and 7 that are green. What is the probability that in a random sample of 3 items selected without replacement, 2 red and 1 green items are selected?
A) 0.175
B) 0.086
C) 0.124
D) 0.211

Question

Quizplus · Accepted Answer

The probability is calculated using combinations. The number of ways to choose 2 red items from 3 is C(3,2) = 3, and the number of ways to choose 1 green item from 7 is C(7,1) = 7. The total number of ways to choose 3 items from 10 is C(10,3) = 120. Thus, the probability is (3 * 7) / 120 = 21 / 120 = 0.175.

A Population of 10 Items Contains 3 That Are Red