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

[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.

 

[DamianDelPiero]

Thread of the year, obv.

 

[Monoxide]

I think my frontal lobe melted slightly upon reading this.

 

[begley01]

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.

 

[Stick66]

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.

 

[MrMuckets]

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

 

[Divebitch]

Thread of the year, obv.

:congrats: :congrats: :congrats:

I think my frontal lobe melted slightly upon reading this.

:laugh: :laugh: :laugh: :laugh: :laugh:

 

[sky4ever]

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

 

[BLieve]

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?

 

[zachvac]

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.

 

[lektrikguy]

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

 

[WVHillbilly]

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

 

[sky4ever]

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 :smile:

 

[tgarner]

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"!

 

[jdeliverer]

FYP

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

 

[pantin007]

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

cause his villains will obviously be https://www.cardschat.com/forum/general-poker-13/folding-aa-155519/

 

[BLieve]

thx for confirming Zach

 

[jdeliverer]

cause his villains will obviously be https://www.cardschat.com/forum/general-poker-13/folding-aa-155519/

AA sooted no less

 

[offshoregamstr]

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