Which statement best explains conditional probability and independence?

A) When two separate events, A and B, are independent, P (A|B) = P (A). This means that the probability of event B occurring first has no effect on the probability of event A occurring next.

B) When two separate events, A and B, are independent, P (B|A) ≠P (A|B). The probability of P (A|B) or P (B|A) would be different depending on whether event A occurs first or event B occurs first.

C) When two separate events, A and B, are independent, P (A|B) = P (B). This means that the probability of event B occurring first has no effect on the probability of event A occurring next.

D) When two separate events, A and B, are independent, P (A|B) ≠P (B|A). This means that it does not matter which event occurs first and that the probability of both events occurring one after another is the same.

Question

Mathematics

Marcus Francis

28 September, 19:18

Which statement best explains conditional probability and independence?

A) When two separate events, A and B, are independent, P (A|B) = P (A). This means that the probability of event B occurring first has no effect on the probability of event A occurring next.

B) When two separate events, A and B, are independent, P (B|A) ≠P (A|B). The probability of P (A|B) or P (B|A) would be different depending on whether event A occurs first or event B occurs first.

C) When two separate events, A and B, are independent, P (A|B) = P (B). This means that the probability of event B occurring first has no effect on the probability of event A occurring next.

D) When two separate events, A and B, are independent, P (A|B) ≠P (B|A). This means that it does not matter which event occurs first and that the probability of both events occurring one after another is the same.

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German · Answer 1

The answer of the question would be:

C) When two separate events, A and B, are independent, P (A|B) = P (B). This means that the probability of event B occurring first has no effect on the probability of event A occurring next.

Because of the evident independence.