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CAIE A Level Mathematics 9709 · Probability

Probability: calculation question

3 marksStandard

The probabilities of events A and B are given in the table below.

EventProbability
A35\frac35
B12\frac12
A ∩ B15\frac15

(i) Find P(A)×P(B)P(A) \times P(B) as an exact fraction. (ii) Hence determine whether events A and B are independent.

  1. (a)

    Compute P(A)×P(B)P(A) \times P(B). Give your answer as an exact fraction.

    [3]

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