Fifty balls numbered 1 through 50 are mixed up in a barrel. How many balls must you draw from the barrel (without looking) to be sure that you have two even-numbered balls?

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27-04-2015
Mathematics

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Fifty balls numbered 1 through 50 are mixed up in a barrel. How many balls must you draw from the barrel (without looking) to be sure that you have two even-numbered balls?

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JaySLidn JaySLidn · Answer 1 · 2015-04-27T15:59:31-04:00

JaySLidn JaySLidn

27-04-2015

If you draw only 25 balls, you could draw the 25 odd-numbered balls. However, there will then be no odd-numbered balls left, so when you draw two more you will be guaranteed to get two even-numbered balls. Thus, the minimum is 25+2=27 balls.

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