Not hitting 4 to a flush ever... what are the odds

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faygo
Video Poker Master
Posts: 2925
Joined: Tue Jan 09, 2007 6:55 am

Re: Not hitting 4 to a flush ever... what are the odds

Post by faygo »

[QUOTE=faygo]
 
 I was including some versions of Deuces Wild Mike.
 
Mike T.
 

I always forget about the "Wild" games.  I haven't added any of them to my arsenal yet.  One game at a time for a simple minded old fart.  JOB, then DDB and now DB.  I'll get there though if I live long enough
[/QUOTE]
 
Here's my convoluted logic on the flush draw.  Drawing to a FH is from two pair, which pays something if the FH doesn't hit. From a 4 card flush, if the flush doesn't hit, you get nothing, nada.
 
As far as the old fart thing, I have plenty senior moments.

Minn. Fatz
VP Veteran
Posts: 524
Joined: Mon May 07, 2007 12:22 am

Post by Minn. Fatz »

. . . the chance of missing 21 flush draws in a row is (80.85^21) = 1.15% of all sets of 21 flush draws




 
To put it in perspective, the odds of missing 21 4-card flush draws in a row are a little better than those of being dealt a 4-card flush in the first place from a standard 52-card deck, nothing wild, about 1.15% to about 1.07%*, 4-card straight and royal flushes included.
 
*combin(13,4)*39/combin(52,5)

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