Expert: Paul Klarreich - 6/24/2011

Question
3 cards are drawn at random from apack of cards,without replacement,find the probability that at least two of them are aces.

Answer
Questioner: tafadzwa
Country: Zimbabwe
Category: Advanced Math
Private: No
Subject: probability
Question: 3 cards are drawn at random from apack of cards,without
replacement,find the probability that at least two of them are aces.
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Try this:

1. Determine the number of subsets of 3 cards from the whole deck.  This is  
C(52,3). Call this D.

2. Find the number of subsets consisting of 3 aces.  This is C(4,3); call it A.

3. Find the number of subsets consisting of 2 aces + a non-ace. This would be:  
C(4,2) * 48{the number of non-aces).  Call this B.

Your probability would be  (A+B)/D