Odds Question

[Ryan231]

I stuck this here so it would get noticed, I post on another forum and there is a huge discussion about this and what the right way of finding the answer is.

The Question is, 4 people sit at a table and are dealt all of the 52 cards, what is the chance that one of them has a pile of cards with a matching suit?

My theory was that you find the chance of getting a certain suit on each deal and then multiply all those chances together and then multiply it by 4 in the end (any 4 of the players can get this suited pile so 4x the chance)

so.. 12/51 = .235
11/50 = ....
and then you multiply all those fraction answers together to find the probability.

Anyone have any input here?

[kingetje]

My theory was that you find the chance of getting a certain suit on each deal and then multiply all those chances together

I think thats it

find the chance of getting one particular suit per card then multiply that chance with the amount of cards dealt? or something like that, maybe i shouldve payed more attention in mathematics class when we discussed this

[Adamm]

That's right.
If it was a certain suit though you'd start with 13/52 x 12/51 x 11/50...
But if you just wanted to know the chance that they all are of the same suit, doesn't matter which, you'd start with 12/51 x 11/50 x 10x49...

Moving this from General Chat to Odds & Probability.