Question

Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low. Two pair (2 cards of one value, 2 of another value)

Answer 1

22464 is incorrect :-/ completely lost

Answer 2

the number of ways to pick five cards out of 52 is
\[\frac{52!}{47!*5!}\]
The number of ways to pick two pair is
13 possible first pairs with 6 suit combinations times
12 possible second pairs with 6 suit combinations
divided by two because 5588 is the same as 8855
times 11 possible extra cards times 4 possible suits.

Answer 3

so the numerator is
11*4*13*6*12*6/2
and the denominator is
52*51*50*49*48/(5*4*3*2)

Answer 4

You can do a lot of cancellation before you get to the ultimate answer.

Answer 5

5148

Answer 6

The answer should be a probability equivalent to approximately 4.75%

Answer 7

Try cancellation from here:
\[\frac{4*11*6*13*6*6}{52*51*5*49*4}\]

Answer 8

are you trying to calculate the probability of 2-pair ...2 cards of one rank and another 2 cards of the same but different rand from the first 2 and a 5th card of a rank different than the other 4?

Answer 9

did you get an answer yet that you like?

Answer 10

i can't say i like any of these choices hmmm

Answer 11

Yes, one of the answers is very close, but not correct. Maybe the deck is missing a card :)

Answer 12

Thanks guys I got it and yes I was really close ;)