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| Math Central | Quandaries & Queries |
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From a standard deck of 52 cards, how many cards would you have to draw, without looking at them , to be absolutely certain (a probability of 1) that you had 5 spades? |
Dee,
Imagine the biggest possible hand without five spades.
How many hearts could you have? [13, right?]
How many diamonds?
How many clubs?
How many spades?
How many in total?
So any hand bigger than this must have five spades.
Good Hunting!
RD
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Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.