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With a standard 52 card deck..what are the odds of someone dealing you 5 hearts? It's a question my math teacher is asking me. I need to know the work as well. I've had a stab at it, I just can't figure it out.

2007-03-01 12:32:47 · 5 answers · asked by USC Trojans! 2 in Games & Recreation Card Games

It is not Hold'em or any kind of poker. You have a deck of 52 and someone hands you 5 cards. What are the odds of all of them being hearts?

2007-03-01 12:46:58 · update #1

5 answers

13/52 x 12/51 x 11/50 x10/49 x 9/48

roughly about 1/2000.

2007-03-01 12:54:01 · answer #1 · answered by H_A_V_0_C 5 · 0 0

Odds = Combinations fufilling/All probabilities =
13 x 12 x 11 x 10 x 9 / 52 x 51 x 50 x 49 x 48.

2007-03-01 17:28:37 · answer #2 · answered by Anonymous · 0 0

man i wish i could draw you a diagram. here it goes.
each time you are dealt, you have .25 probability of getting a heart THE FIRST TIME. the second time you have 51 cards to be dealt from and only 12 hearts left, so the probability =.23 and the same pattern for the next tries. 3rd time probability = .22 4th time it =.204 and 5th= .1875. you must then multiply the numbers to get the result. (.25 *.23*.22*.204*.1875) this = .000631125 therefore you have a very small chance of being dealt 5 hearts in a row.

2007-03-05 09:53:30 · answer #3 · answered by zantaff 2 · 0 0

I think you'll find your ideal answer at http://wizardofodds.com

I would look for the odds of hitting a flush in something like Caribbean Stud. I realize that you aren't looking for poker in particular, but you get 5 cards in that game and if you get a flush, they'll all be the same suit. Crack that number to a fourth for the suit and you should have your total.

If I understand it correctly, it'll be something like 0.25% of hands.

2007-03-01 15:36:51 · answer #4 · answered by starofiniquity 5 · 0 0

between how many players, and how many cards?

2007-03-01 12:40:32 · answer #5 · answered by sm177y 5 · 0 0

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