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

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(52778) (Show Source): You can put this solution on YOUR website!
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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

Solved.

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