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#1 2013-08-21 10:28:02

Registered: 2013-08-21
Posts: 1

Probability Problem

I don't know much about statistics so I'm not sure how complex this problem is but:

I have a deck of 9 cards, and I have 3 favorite cards in the deck. I choose 3 cards at random from the deck. What is the probability that at least one of the 3 random cards is a favorite card?

If someone can show me how to get to the answer, it would be much appreciated. Thanks!


#2 2013-08-21 12:04:59

From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Probability Problem


The distributions in statistics are a great help in solving many probability problems.

If you are not replacing the cards then you use the hypergeometric distribution.

The probablility is 16 / 21.

In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.


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