Thread: Probability -dealing with cards

This question is on a final exam study sheet. Here it is: What is the probability of getting a full house ( 3 of one number and 2 of another) from 5 cards dealt from a shuffled deck of 52 playing cards?

Not sure quite how to attack this ... permutation? combination? etc

Originally Posted by RotundRaspberry

This question is on a final exam study sheet. Here it is: What is the probability of getting a full house ( 3 of one number and 2 of another) from 5 cards dealt from a shuffled deck of 52 playing cards?

Not sure quite how to attack this ... permutation? combination? etc

Read this: Poker probability - Wikipedia, the free encyclopedia

Hello, RotundRaspberry!

Card games are usually combinations
. . since the order of the cards makes no difference.

What is the probability of getting a Full House (3 of one number and 2 of another)
from 5 cards dealt from a shuffled deck of 52 playing cards?

There are 13 choices for the value of the Triple.
There are: . ways to get the Triple.

There are 12 choices for the value of the Pair.
There are: . ways to get the Pair.

Hence, there are: . possible Full Houses.


There are: . possible 5-card Poker hands.


Therefore: .