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The probability that event A will occur is 0,2 and the probability that event B will occur is 0,6. The probability that both A and B will occur is 0,12.
Are events A and B independent of each other? Explain your answer.
in Mathematics by Diamond (43,708 points) | 66 views

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Given: P(A) = 0.2;    P(B) = 0.6;    P(A ∩ B) = 0.12

Condition for independent events is P(A ∩ B) = P(A) P(B)

In this case, P(A ∩ B) = P(A) P(B) = 0.2 x 0.6 = 0.12 = P(both A and B will occur) = 0.12

Therefore A and B are independent events
by Diamond (40,192 points)
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