- #1

Biosyn

- 115

- 0

## Homework Statement

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

## Homework Equations

## 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).