Question

The probability that event A occurs is 12%. The probability that event B occurs is 15%. The probability that both events occur is 3%.

What are the conditional probabilities of the two events?

Are A and B independent events?

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P(A|B)= Response area

P(B|A)= Response area

The probability of A given B Response area as the probability of A, so A and B Response area independent events.

Answer 1

The conditional probabilities of the two events are; P(A|B) = 0.2 and P(B|A) = 0.25. The events are dependent.

What are independent events?

The conditional probabilities of the two events can be calculated as follows;

P(A|B) = P (A n B)/P(B)

P(A|B) = 3%/15% = 0.2.

P(B|A) = P (B n A)/P(A)

P(B|A) = 3%/12% = 0.25.

The two events are dependent on eachother. This follows from the fact that the occurrence of each event depends on the other.

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