P(A) = P((1, 4), (2, 3), (3, 2), (4, 1)) = 4/36 = 1/9
P(B) = 1/6
P(AB) = P(sum is 5 and the red die shows 2) = P((3, 2)) = 1/36
Test for Independence
P(AB) | = | P(A)P(B) | ? | ||
36 | = | 9 | . | 6 |
Therefore, the events are not independent.
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