A Secondary School With 300 Students, A Gardening Club, A Reading Club, And A Music Club…

A secondary school with 300 students, a gardening club, a reading club, and a music club were formed. Each club had 100 member. The reading club has twenty members who are also in the gardening club and thirty two who are in thr music club. a student is selected at random. what is the probability that a student is a

a. member of the reading club?
b. member of the three club?
c. member of music & reading club?
d. member of reading or gardening club?
e. member of music or reading club?​

Answer:

a. The probability that a student is a member of the reading club is 20/300 = 2/30.

b. The probability that a student is a member of all three clubs is 18/300 = 3/50.

c. The probability that a student is a member of both the music and reading club is 32/300 = 4/75.

d. The probability that a student is a member of the reading or gardening club is 38/300 = 1/8.

e. The probability that a student is a member of either the music or reading club is 52/300 = 17/150.