A box contains 27 black and 3 red balls. A random sample of 5 balls is drawn without replacement. What is the probability that the sample contains one red ball?

Question

Quizplus · Accepted Answer

The probability is calculated using combinations. The number of ways to choose 1 red ball from 3 is C(3,1) and the number of ways to choose 4 black balls from 27 is C(27,4). The total number of ways to choose 5 balls from 30 is C(30,5). The probability is [C(3,1) * C(27,4)] / C(30,5) = 0.369.

A Box Contains 27 Black and 3 Red Balls