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From a group of 3 first-year students, 4 sophomores, 4

Chapter 2, Problem 8STE

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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.

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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.

 

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