5 of a kind vs straight flush? Whats more rare?

#1 30th June 2009, 7:43 AM

IF there were 5 suits in a deck totaling 65 cards. What hand would be considered more rare if the same rules in hold em applied? 5 of a kind or a straight flush? My math is nowhere near the level it needs to be to calculate this but I will lean towards 5 of a kind.

#2 30th June 2009, 7:50 AM

Thread of the year, obv.

#3 30th June 2009, 7:53 AM

I think my frontal lobe melted slightly upon reading this.

#4 30th June 2009, 8:00 AM

lol, I would think 5 of a kind would be slightly rarer. Since there are situations you could get open ended straight flush draw, but it would always be 1 card for 5 of a kind. 5 of a kind would probably be the same odds as a 5 suit royal.

#5 30th June 2009, 8:02 AM

Quote:

Originally Posted by BLieve

IF there were 5 suits in a deck totaling 65 cards. What hand would be considered more rare if the same rules in hold em applied? 5 of a kind or a straight flush? My math is nowhere near the level it needs to be to calculate this but I will lean towards 5 of a kind.

I think they only have those kind of decks in New Zealand on the other side of the International Dateline, so 5 of a kind will only be a good hand the next day.

#6 30th June 2009, 1:41 PM

They have decks like that in the land where donkeys fly.
Who says there is no such thing as a dumb question.

#7 30th June 2009, 8:30 PM

Quote:

Originally Posted by DamianDelPiero

Thread of the year, obv.

Quote:

Originally Posted by Monoxide

I think my frontal lobe melted slightly upon reading this.

#8 30th June 2009, 9:35 PM

The answer is simple and does not imply advance math.
In a normal 4-color there are:
10 (straight flushes per suit)*4(total suits)= 40 straight flush 5-card hand combinations
13 (four of a kind combinations) * (12 the kicker) = 156 5-card poker hand combinations
Therefore 40<156 = it`s harder to hit a straight flush

In a 5-color imaginary deck there would be:
50 straight flush 5-card hand combinations
13 five of a kind 5-card hand combinations
Therefore hitting 5 of a kind it`s gonna be much harder than hitting a straight flush.

P.S. I`m not 100% sure about this way of putting it so pls correct it if you find any flaws

#9 30th June 2009, 11:00 PM

I dont get all the sarcasm here. This is a hypothetical question. Is there something obvious to you MrMuckets?

Sky4ever that seems like a reasonable way to approach the math, would anything else be considered?

#10 1st July 2009, 12:03 AM

5-card deck quints:

(4/64)(3/63)(2/62)(1/61) = 1/635376

5-card deck straight flush:

Total combos order doesn't matter = 65 choose 5 = 8259888
Total combos for SF where order doesn't matter = 10*5 = 50

50/8259888 = 1/165197.76

So you will get quints every 635,376 hands and a straight flush every 165,197.76 hands.

Note that this confirms that sky's method was correct (and much much simpler) because 50/13 also = 3.85

Therefore the straight flush is between 3 and 4 times as likely as 5 of a kind.

#11 1st July 2009, 12:18 AM

If there was only one suit in a deck and they were all aces I'd win 100% of the time.

#12 1st July 2009, 12:24 AM

Quote:

Originally Posted by lektrikguy

If there was only one suit in a deck and they were all aces I'd lose to the rake 100% of the time.

FYP

#13 1st July 2009, 12:29 AM

Quote:

Originally Posted by zachvac

Note that this confirms that sky's method was correct (and much much simpler) because 50/13 also = 3.85

That made me feel a lot better

#14 1st July 2009, 3:31 AM

Ok,
This post has been bothering me all day. How would you even come up with this idea?
I have went back and read it again and I still go, "huh"!

#15 1st July 2009, 3:35 AM

Quote:

Originally Posted by WVHillbilly

FYP

No he'd be soooper aggressive and get villain to fold ldo

#16 1st July 2009, 3:37 AM

Quote:

Originally Posted by jamesdadeliverer

No he'd be soooper aggressive and get villain to fold ldo

cause his villains will obviously be Folding AA ?

#17 1st July 2009, 5:48 AM

thx for confirming Zach

#18 1st July 2009, 5:53 AM

Quote:

Originally Posted by pantin007

cause his villains will obviously be Folding AA ?

AA sooted no less

#19 1st July 2009, 3:34 PM

I agree. My math skills are not there. I have asked a couple people and we would go with the 5 of a kind.

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