SOLUTION: Three balls are drawn one after the other without replacement from a bag containing 4 blue,6 white and 5 red identical balls. The probability of picking 2 blue and 1 red ball is

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Question 1096073: Three balls are drawn one after the other without replacement from a bag containing 4 blue,6 white and 5 red identical balls. The probability of picking 2 blue and 1 red ball is
Answer by rothauserc(4718) About Me  (Show Source):
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suppose the first two picks are blue balls and the third is a red ball, then
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Probability(P) = 4/15 * 3/14 * 5/13 = 0.021978022 approximately 0.02
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Suppose we pick a red ball first and then two blue balls, then
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P = 5/15 * 4/14 * 3/13 = 0.02
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Suppose we pick a blue ball, red ball and then another blue ball
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P = 4/15 * 5/14 * 3/13 = 0.02
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We see that the probability(0.02) is the same for all three cases
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