(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What is the probability of drawing a full house from a standard deck (52).

2. Relevant equations

3. The attempt at a solution

These are the two answers I came up with:

(52/52) * (3/51) * (2/50)* (48/49) * (3/48) * 5C3 * 5C2 = 0.0144~

or

(52/52) * (3/51) * (2/50)* (48/49) * (3/48) * 5C3 = 0.00144~

The second answer is the correct one.

I know you multiply by 5 choose 3 because there are three matching cards that you need to select out of five spots.

But what about the pair? Do I need to multiply by 5 choose 2?

The simulation on Wolframalpha comes up with a probability that is close to my second answer.(The correct one).

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# Homework Help: Probability of drawing a full house

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