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F4 Maths

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Probabilities謝謝..1.Bag A contains 7 red balls, and 5 blue balls. Bag B contains 5 red ballsand 4 green balls. One ball is randomly drawn from A into Bag B. Then one ball is drawn from Bag B randomly and put into A. Final, a ball is drawnfrom A at random. Find the probability that the final ball drawn from bag... 顯示更多 Probabilities 謝謝..1. Bag A contains 7 red balls, and 5 blue balls. Bag B contains 5 red balls and 4 green balls. One ball is randomly drawn from A into Bag B. Then one ball is drawn from Bag B randomly and put into A. Final, a ball is drawn from A at random. Find the probability that the final ball drawn from bag A is(a) blue (b) red-----2. There are 2 white, 4 green and 5 red balls in a bag. Two balls are drawn at random with replacement. What is the probability that(a) both are red ? (b) both are of the same colour (c) they are different in colour-----3. The probability that a man will be alive in 25 years is 0.8,and the probability that hin wife will be alive in 25 years is 0.85. Find the probability that(a) both will be alive in 25 years (b) only the man will be alive in 25 years (c) at least one will be alive in 25 years 詳細解答,列式 .. 謝謝..

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1. (b) (a) P(Red) = P(RRR) + P(RBR) + P(BRR) + (BBR) = 7/12 x 6/10 x 7/12 + 7/12 x 4/10 x 6/12 + 5/12 x 5/10 x 8/12 + 5/12 x 5/10 x 7/12 =93/160 P(Blue) = 1 - 93/160 = 67/160 2. a) 5/11 x 4/10 =2/11 b) P(WW) +P(GG) + P(RR) = 2/11 x 1/10 + 4/11 x 3/10 + 2/11 = 17/55 c) P(different in color) = 1 - P(same in color) = 1 - 17/55 = 38/55 3. a) 0.8 x 0.85 = 0.68 b) 0.8 x (1 - 0.85) = 0.12 c) P(at least one be alive) = 1 - P(both die) = 1 - (1 - 0.8) x (1 - 0.85) = 0.97 若覺得我幫到你,可否我的 Facebook Page 比個 Like 我?感激! 經數學人 http://fb.com/ronaldchik

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