SOLUTION: A jar contains 5 white, 7 blue, and 8 red marbles. If you remove 1 marble at a time, randomly, what is the minimum number that you must remove to be certain that you have at least

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A jar contains 5 white, 7 blue, and 8 red marbles. If you remove 1 marble at a time, randomly, what is the minimum number that you must remove to be certain that you have at least      Log On

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Question 117442: A jar contains 5 white, 7 blue, and 8 red marbles. If you remove 1 marble at a time, randomly, what is the minimum number that you must remove to be certain that you have at least 3 marbles of each color?
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Although it is a small possibility, you could draw all 8 red marbles to begin with. Then you
could draw all 7 blue marbles. This means that you have removed 15 marbles and still don't
have a white one. However, the next three draws would only be white, so you would be done.
.
Therefore, you need to draw 18 of the 20 marbles to be absolutely sure that you had three
marbles of each color.
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Hope this helps you to understand the problem.
.