7 Card stud, who wants to do the math for me???
 

Just wondering the probability of this---

I was dealt rolled up Kings

The very next hand dealt rolled up Aces

gotta be, like 1 in a gazillion right

(btw also odd---both hands i did not improve and they both still held up)

Re: 7 Card stud, who wants to do the math for me???
 

The probability of being dealt 3 kings on hand 1 then 3 aces on hand 2 is about 1 in 30.5 million.

The probability of being dealt:

KKK then KKK or
KKK then AAA or
AAA then KKK or
AAA then AAA

is about 1 in 150,000.

Add queens into your list of top rolled up hands and the probability of any combination is about 1 in 10,000.

Calculating the odds of not improving takes a little more work.

(Ignoring the flushes/straights there is a 60% chance you will not make quads or a full house once dealt a rolled up hand)

The odds of not improving and holding up further depends variables you haven't listed.

Re: 7 Card stud, who wants to do the math for me???
 

Not all correct. There are 4 combinations of KKK out of
C(52,3)= 22 100; therefore, the probability is 1/5525.
So getting KKK and then AAA is exactly 1/30 525 625 (this
part is correct).

Getting KKK/AAA followed by KKK/AAA again is simply four
times as likely or 7 631 405.25 to 1 against.