SOLUTION: An urn contains 9 red marbles, 10 white marbles, and 5 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places. Find t
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Question 1196586: An urn contains 9 red marbles, 10 white marbles, and 5 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places. Find the probability all three marbles are the same color Answer by ikleyn(52777) (Show Source):
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An urn contains 9 red marbles, 10 white marbles, and 5 blue marbles .
A child randomly selects three (without replacement) from the urn.
Round to four decimal places. Find the probability all three marbles are the same color
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In all, there are 9 + 10 + 5 = 24 marbles
The number of all possible triples is = 2024.
The number of all possible red triples is = 84.
The number of all possible white triples is = 120.
The number of all possible blue triples is = 10.
The number of all favorable choices is the sum 84 + 120 + 10 = 214.
The probability under the problem's question is
P = = = 0.1057 (rounded). ANSWER