Consider two events such that P (A) = 1/4, P (B) = 2/5, and P (A∩B) = 1/10. Are events A and B independent events?

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

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)

Question

Lillianna Holder

Mathematics

4 May, 11:33

Consider two events such that P (A) = 1/4, P (B) = 2/5, and P (A∩B) = 1/10. Are events A and B independent events?

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

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)

+1

Answers (1)

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Nunez · Answer 1

Yes, they are independent. First of all, we know that P (A) = 1/4, P (B) = 2/5, and P (A and B) = 1/10. To know if two events are independent, the following questions must be true: P (A) * P (B) = P (A and B). So since (1/4) * (2/5) = 2/20 which equals 1/10, these events are independent