Two events E1 and E2 are called independent if p(E1 E2) =

Chapter 10, Problem 38E

(choose chapter or problem)

Two events E1 and E2 are called independent if p(E1 ? E2) = p(E1)p(E2). For each of the following pairs of events, which are subsets of the set of all possible outcomes when a coin is tossed three times, determine whether or not they are independent.a) E1: tails comes up with the coin is tossed the first time; E2: heads comes up when the coin is tossed the second time.________________b) E1: the first coin comes up tails; E1: two, and not three, heads come up in a row.________________c) E1: the second coin comes up tails; E2: two, and not three, heads come up in a row.(We will study independence of events in more depth in Section 7.2.)

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