Posted by **Tabby** on Monday, October 6, 2008 at 1:13pm.

Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low.

Four of a kind (4 cards of the same value)

I keep getting 1/199,920, but that's not one of my options.

- Algebra -
**David Q**, Monday, October 6, 2008 at 2:38pm
Suppose you were after the probability of getting four aces in five cards. Suppose also that the four aces were the first four cards out of the five you were dealt. The chances of getting that would be (4/52)x(3/51)x(2/50)x(1/49).

But the 5th card could be any of the five you are dealt, so the above needs to be multiplied by 5. Also, your four of a kind could be any of the 13 different face-values, so multiply the above by 13 to get all of them. That would give you

(13x5x4x3x2)/(52x51x50x49) = 1/4165.

Is that one of your options?

## Answer this Question

## Related Questions

- Probability. NEED HELP!!! - What is the probably that a five-card hand dealt ...
- COMBINATION!!MATH!!!hurryyy!!! - Cards are drawn at random from a 52-card deck. ...
- College Math - A card is selected from a standard deck of 52 playing cards. A ...
- math - How many 5 card poker hands consisting of 3 aces and 2 kings are ...
- geometry - How many 5 card poker hands consisting of 3 aces and 2 kings are ...
- math,help - what formula or how do i solve for this: How many 5-card poker hands...
- Math - A card is selected from a standard deck of 52 playing cards. A standard ...
- geometry - A card is selected from a standard deck of 52 playing cards. A ...
- Math - A card is selected from a standard deck of 52 playing cards. A standard ...
- math - A poker hand consists of five cards from a standard deck of 52. Find the ...

More Related Questions