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72 28 10% 12.5% 8.26% 720 3/14 7/29 12

72 28 10% 12.5% 8.26% 720 3/14 7/29 12 13) S = { hhhh , httt , thtt , ttht , ttth , thth , htht , tthh , hhtt , thht , htth , thhh , hthh , hhth , hhht , tttt } P(exactly one head) = ¼ 5/104 14/55 1/55 4/55 3/110 20) 10 64.3%

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72 28 10% 12.5% 8.26% 720 3/14 7/29 12

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  1. 72 28 10% 12.5% 8.26% 720 3/14 7/29 12 13) S = {hhhh, httt, thtt, ttht, ttth, thth, htht, tthh, hhtt, thht, htth, thhh, hthh, hhth, hhht, tttt} P(exactly one head) = ¼ 5/104 14/55 1/55 4/55 3/110 20) 10 64.3% Dependent: outcome is based on previous event Independent: outcome is not based on previous event 24) 20/39 25) S = {hhh, hht, hth, thh, tth, tht, htt, ttt} a. P(tails exactly twice) = 3/8 b. P(heads at least once) = 7/8 26) 3.75% P(placebo and improvement) = 46% 1/6, ½, 1/3 1/169, 1/52 60 28 3276 34) 1/6, 11/18 5/12 ¼ b) ½ c) ¼ d)3/4 e)1/4 $3.25 1/18 78 6227020800 (It is fine to simply write 13!) $5 $0 (breaks even)

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