Full House

I need an equation for what is the probability of getting a house full of card draw poker games 5.?

Noting that a house is 3 card and 2 of another.

This is how I normally do. There are a total of C (52.5) ​​hands. To draw a house, There are 13 possible cards you can do first. And you have to draw three cards of the same 4 colors. The second card can be one of the 12 cards you have not prepared and you need two So you have 13 * C (4,3) * 12 * C (4.2) the probability is [13 * C (4.3) * 12 * (4.2) C] / C (52.5) ​​Otherwise, there is another way of thinking. For the first card, you can choose anything if you have 52/52 cards to choose from. The second is the same card as the first so you have 3 / 51 cards that work. The third you have 2 / 50 that work. The second card is 48/49 is not used. The last card is the same type of card you have 3 / 48 that the work you have 1 * 3 / 51 * 2 / 50 * 48/49 * 3 / 48 * (5.2) C ---> there is C (5,2) ways to sort the cards. You do not have to make in a particular order.

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