Question 586525
 If b and w stand for the results of a throw of two dice, show that
the events A = {b +w < 8} and B = {b = 3 or 4} are statistically independent
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P(A) = 5/36
P(B) = 2/6 = 1/3
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P(A)*P(B) = (5/36)(1/3) = 5/108
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P(A | B) = ?
If b = 3 then w is  5 or4 or 3 or 2 or 1
If b = 4 then w is 3 or 2 or 1
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So P(A | B) = 8/36
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Since 5/108 # 8/36, A and B are independent.
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Cheers,
Stan H.