Two events EI and E2 are called independent if p(EI n E2)

Chapter 6, Problem 6.1.38

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Two events EI and E2 are called independent if p(EI n E2) = p(EJ )p(E2). For each of the following pairs of events, which are subsets ofthe set of all possible outcomes when a coin is tossed three times, determine whether or not they are independent. a) E I: the first coin comes up tails; E 2 : the second coin comes up heads.b) E 1 : the first coin comes up tails; E2: two, and not three, heads come up in a row. e) E 1 : the second coin comes up tails; E 2: two, and not three, heads come up in a row.

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