vpFREE2 Forums

What are odds of this ??

I am speaking of the odds of getting any four of a kind followed by any
straight flush without any redraws.

Grumpy

************************************** See what's free at http://www.aol.com.

[Non-text portions of this message have been removed]

Grumpy wrote:
I am speaking of the odds of getting any four of a kind followed by any
straight flush without any redraws.

ยทยทยท

============================================================
There are 40 straight flushes (4 are royals), so the probability of
being dealt a straight flush is 36/2,598,960.
Any card can be paired with 4 of any denomination, so there are 48
ways to get four of a kind for any denomination, and there are 13
denominations, so the probability of being dealt a four of a kind is
(48*13)/2,598,960.
Multiply the two probabilities and take the reciprocal to get
300,685,233.3...so about 300 million to 1 seems right.