Question

Consider two events such that P(A)=3 / 5, P(B)=4 / 7, and P(A∩B)=12 / 35. Are events A and B independent events?

No, they are dependent because P(A)×P(B)≠P(A∩B)

No, they are dependent because P(A)×P(B)=P(A∩B)

Yes, they are independent because P(A)×P(B)≠P(A∩B)

Yes, they are independent because P(A)×P(B)=P(A∩B)

Answer 1

option D

Yes, they are independent because P(A)×P(B)=P(A∩B)

Explanation:

Given in the question,

p(A) = 3/5

p(B) = 4/7

p(A∩B) = 12/35

If two events A and B are independent then,

P(A n B)= P(A).P(B)

12/35 = 3/5 . 4/7

12/35 = 12/35

Hence, events A and B independent events