Thread: Playing cards

Please help!

We are playing a card game, where we have a big discusion about statistic. Hope one of you can help solving the problem.

I have the card spades 2. 3 other persons each recieve a single card - 3 in total.

How big is chance that one of the 3 persons recieve a spades? All 52 cards are used - after I have received spades 2 there are 12 spades back of a total of 51 card.

Please help, or write back, if you need further information to answer the question.

Kind Regard
Kim

Each of them has a probability of 12/51 of having another spade.

I agree, but how big is the chance in total, that one of the three have a spade? I think it is 36/51. Right?

It is a bit hard to follow your setup. Say you have one card, a spade, then you deal one card to each of two other people. I think that you want to know the probability their getting at least one spade.
The probability their getting no spade is

So the probability their getting at least one spade is

Hi Plato

I play a card game with 4 players involved. I have a spade, and want to know how big (percent) a chance there is, that one of the 3 other players getting a spade.

Originally Posted by KimN

I play a card game with 4 players involved. I have a spade, and want to know how big (percent) a chance there is, that one of the 3 other players getting a spade.

How many cards are dealt? Are you thinking one card each?
So four cards in all. If so it is done exactly as I did with three people.

I have one card - eg. spade 2. Then there is 51 cards back. Of these 51 cards i give one card to 3 persons. Then 48 cards back. How many percent chance is it that one of the 3 persons have a spade?

Originally Posted by KimN

I have one card - eg. spade 2. Then there is 51 cards back. Of these 51 cards i give one card to 3 persons. Then 48 cards back. How many percent chance is it that one of the 3 persons have a spade?

That is the probability that at least one of the other three players gets a spade.

Originally Posted by Plato

I agree with Plato.
That comes out to .56115..., or approximately 11/20

Your question could be stated this way:
a spade is missing from a regular 52cards deck;
3 cards are pulled at random from the remaining 51 cards:
what is probability that at least one card pulled is a spade?