49. A fair coin is tossed twice. Consider the sample space S = {HH, HT, TH, TT} of equally likely simple events. We are interested in the following events: E₁ = a head on the first toss E₂ = a tail on the first toss E2 E3 = a tail on the second toss E4 = a head on the second toss For each pair of events, discuss whether they are independent and whether they are mutually exclusive. (A) E₁ and E4 (B) E₁ and E₂ 50. For each pair of events (see Problem 49), discuss whether they are independent and whether they are mutually exclusive. (A) E₁ and E3 (B) E3 and E4

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