Question

This table shows how many sophomores and juniors attended two school events.

What is the probability that a randomly choosen person from this group is a sophomore and attended the volleyball game?

Round your answers to two decimal places.

A. 0.56
B. 0.31
C. 0.26
D. 0.48

Answer 1

Answer:

Option: B is the correct answer.

         B)  0.31

Step-by-step explanation:

Let A denote the event that a person is a sophomore.

Let B denote the event that a person has attended volleyball game.

A∩B denote the event that a person is a sophomore and attend volleyball game.

Let P denote the probability of an event.

We are asked to find:

P(A∩B)

From the table provided to us we see that:

A∩B=42

Hence,

P(A∩B)=42/137=0.3065 which is approximately equal to 0.31

         Hence, the probability is:

                      0.31