Question

A and B are independent events. Find P(A and B)
1. P(A)=1/6 , P(B) = 2/5
2. P(A)=9/20 , P(B) =3/4

Answer 1

If A and B are independent events, then P(A and B) = P(A) * P(B)

Answer 2

For #1,

P(A and B) = P(A) * P(B)
P(A and B) = (1/6)*(2/5)
P(A and B) = (1*2)/(6*5)
P(A and B) = 2/30
P(A and B) = 1/15

I'll let you do #2