Math Is Fun Forum

wbry1950

Guest

probability/odds

Hello all, my friend and I were playing cards the other night, long story short 36 cards remain in the deck with 8 facing up. After pulling 8 cards from the 36, what formula would I use in order to find the odds of none of the 8 matching the initial 8 cards showing? Thanks in advance!

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability/odds

Hi;

odds of none of the 8 matching the initial 8 cards showing?

Match in what way, suits or denominations?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

wbry1950

Member

Registered: 2014-12-22

Posts: 9

Re: probability/odds

Both.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability/odds

I do not understand, there is only one card with a certain suit and number.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

wbry1950

Member

Registered: 2014-12-22

Posts: 9

Re: probability/odds

Perhaps I'm being a little unclear. Its pretty conveluded to begin with but this is keeping me up at night. Start with 52 cards, draw 8 facing up, draw 8 facing down leaving 36 in the deck. How would I find the odds of no cards matching the 8 facing up neither suit nor denomination if I pull an additional 8 from the 36.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability/odds

If your first up row is

using H = Heart, S = Spade, C = Club, D = Diamond.

7D, 8H, 10C, 10S, 2C, 3H, 2H, 9H

What do you consider a no match in the 8 drawn from the 36?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

wbry1950

Member

Registered: 2014-12-22

Posts: 9

Re: probability/odds

No match meaning different suit and denomination.

wbry1950

Member

Registered: 2014-12-22

Posts: 9

Re: probability/odds

7D, 8H, 10C, 10S, 2C, 3H, 2H, 9H

3H, 4C,  6D,  4H,  9S, 2D, 8S, 5C

each card pulled is a separate instance.

wbry1950

Member

Registered: 2014-12-22

Posts: 9

Re: probability/odds

I really appreciate your help by the way. This is driving me insane.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability/odds

Hi;

There is a 3H in both rows?

You mean each column must be different?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

wbry1950

Member

Registered: 2014-12-22

Posts: 9

Re: probability/odds

These are not the exact cards that were drawn, yes each column is different.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability/odds

So you only need each column to be different in both suits and denomination?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

wbry1950

Member

Registered: 2014-12-22

Posts: 9

Re: probability/odds

Correct.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability/odds

Hi;

I am getting a probability of .062

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

wbry1950

Member

Registered: 2014-12-22

Posts: 9

Re: probability/odds

How did you arrive at this answer? What's keeping me up is not knowing how to solve the problem.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability/odds

Do you know how to program? That is the answer a simulation gave. It is probably very close if I have done it right.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

wbry1950

Member

Registered: 2014-12-22

Posts: 9

Re: probability/odds

If you could point me in the right direction I'd be eternaly grateful.