A population of sports teams consists of 26 individual teams.We wish to randomly sample 4 teams for observation.If each team has an equal likelihood of being selected, what is the probability that any given sample of size 4 will be selected?
A) 1/14,950
B) 4/14,950
C) 1/358,800
D) 4/358,800

Question

Quizplus · Accepted Answer

The probability of selecting any given sample of size 4 from a population of 26 is calculated using combinations, as the order in which we select the teams does not matter. The number of ways to choose 4 teams out of 26 is given by 26 choose 4, which is calculated as 26! / (4!(26-4)!) = 14,950. Therefore, the probability of selecting any specific combination of 4 teams is 1 out of the total number of combinations, which is 1/14,950.

A Population of Sports Teams Consists of 26 Individual Teams