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)

Question

Mathematics

Nicholas Richards

18 November, 03:26

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)

+4

Answers (1)

Know the Answer?

Carson Pittman · Answer 1

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,

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