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From a group of 3 first-year students, 4 sophomores, 4
Chapter 2, Problem 8STE(choose chapter or problem)
Problem 8STE
From a group of 3 first-year students, 4 sophomores, 4 juniors, and 3 seniors, a committee of size 4 is randomly selected. Find the probability that the committee will consist of
(a) 1 from each class;
(b) 2 sophomores and 2 juniors;
(c) only sophomores or juniors.
Questions & Answers
QUESTION:
Problem 8STE
From a group of 3 first-year students, 4 sophomores, 4 juniors, and 3 seniors, a committee of size 4 is randomly selected. Find the probability that the committee will consist of
(a) 1 from each class;
(b) 2 sophomores and 2 juniors;
(c) only sophomores or juniors.
ANSWER:
Step 1 of 3
Given that, 3 first year students, 4 sophomores, 4 juniors, 3 seniors, and a committee of 4 to be selected.
a). We have to find the probability that the committee will consist of 1 from each class.
Thus,
P(committee having 1 from each class) =
Therefore, the probability that the committee will consist of 1 from each class is 0.144.