Question

A teacher randomly chooses a two-person leadership team from a group of four qualified students. Three of the students, Sandra, Marta, and Jane, are girls. The fourth student, Franklin, is a boy.

Using the sample space of possible outcomes listed below, where each student is represented by the first letter of his or her name, answer each of the following questions.

What is P(A)P, left parenthesis, A, right parenthesis, the probability that the first student is a boy?

Answer 1

Answer: The sample space of possible outcomes is:

{SM, SJ, MJ, MS, JS, JM}.

There are 6 possible outcomes in the sample space, and 1 of these outcomes results in the first student being a boy (Franklin, represented by "F").

Therefore, the probability of the first student being a boy is P(A) = 1/6.

Explanation: