Answered

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)

Answer :

arc36
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

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