A die is thrown. If G is the event 'the number appearing is a multiple of 3' and H be the event\n'the number appearing is even' then find whether G and H are independent ?\nOptions:\n(A) G and H are not independent events.\n(B) G and H are independent events.\n(C) Only G independent event\n(D) Only H independent event\n(E) None Hmmm, my stream of consciousness:
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We know that the sample space is S = {1, 2, 3, 4, 5, 6}\nNow G = { 3, 6}, F = { 2, 4, 6} and E n F = {6}\nThen P(G) = 2/6 = 1/3\nP(H) = 3/6 = 1/2 and P(G ∩ H) = 1/6\nP(G n H) = P(G). P (H)\nG and H are independent events. So, the answer is (B).
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