You are dealt a flush in the game of poker when you are dealt five cards of the same suit. If you are dealt a five-card hand, find the probability you will be dealt a heart flush.

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- Apr 29th 2012, 02:05 PMalexgintomAny poker players?
You are dealt a flush in the game of poker when you are dealt five cards of the same suit. If you are dealt a five-card hand, find the probability you will be dealt a heart flush.

- Apr 29th 2012, 02:43 PMPlatoRe: Any poker players?
- Apr 29th 2012, 02:56 PMMathoManRe: Any poker players?
Just continuing from the post above.... Classical probability - number of relevant events divided by total number of events: $\displaystyle \frac{ {13 \choose 5}}{{52 \choose 5}} $. One event is choosing 5 cards from a 52 cards deck. Relevant events are those where you ensure that all 5 cards will be of heart suit. So you isolate heart suited cards. From 13 of them you choose 5. There are $\displaystyle {13 \choose 5}$ ways to do that. Now total number of events is the number of ways to choose 5 from 52: $\displaystyle {52 \choose 5}$. Divide those two and you have your probability.

- Apr 29th 2012, 03:13 PMalexgintomRe: Any poker players?
How do you divide that with a scientific calculator. I am still learning all the diferent things you can solve with it.

- Apr 29th 2012, 10:06 PMMathoManRe: Any poker players?