A Gee-Whiz Probability Problem

Probability Level 3

There are 10 10 identical balls of each colour, black and white, evenly mixed in the urn. If I randomly take 3 3 balls at once without looking, what is the probability of getting at least two balls of the same color in percent ( % ) (\%) ?


The answer is 100.

Tunk-Fey Ariawan by Tunk-Fey Ariawan , 35, Indonesia

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2 solutions

Venture Hi
Oct 27, 2014

The possible combinations are {BBB},{WWW},{BWW},{BBW} since they are identical. Each has at least 2 of the same colors. So its 100%

1 Helpful 0 Interesting 1 Brilliant 0 Confused
Vishal Rai
Aug 29, 2014

It's because there are only two colored balls and if we take out even 3, then we will to take out at least 2 balls of the same color either black or white. Just think this logically.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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