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)

option D

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

Step-by-step 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,

12/35 = 3/5 . 4/7

12/35 = 12/35

Hence, events A and B independent events

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

attachment?

step-by-step explanation: