Question

What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ?

F. 1/4
G. 3/8
H. 3/5
J. 5/8
K. 7/8

Answer 1

`|\Omega|=8\\ |A|=3\\ P(A)=(|A|)/(|\Omega|)\\ P(A)=(3)/(8)`

Answer 2

Total amount of numbers in the set = 8 .

Total amount that are divisible by both 2 and 3 = 3 .

So the probability of picking one of them is 3/8 = 37.5 percent.