Question

There are 70 students in a book club. Of those 70 students, 30 are girls, 24 are seniors, and 6 of the girls are seniors.

Part I: Use the following steps to fill in the Venn diagram below.
Step 1: In Area 1, write the number of students who are girls and seniors.
Step 2: In Area 2, write the number of girls who are not seniors.
Step 3: In Area 3, write the number of seniors who are not girls.
Step 4: In Area 4, write the number of students who are not girls and not seniors.
Part II: A student in the club is a senior. What is the probability that the student is a girl? Part III: A student in the club is a girl. What is the probability that she is not a senior?

Answer 1

Area 1 = 6

Area 2 = 30-6 = 24

Area 3 = 24-6 = 18

Area 4 = 70 - 48 = 22

Part II this is 6/24 = 1/4 (prob that senior is a girl)

Par iii Prob ( that a girl is not a senior) = 24/30 = 4/5