View Full Version : what are odds on these (2) scenarios - please help!
Anyone know what the odds are that two players could make a flush on the flop (10 handed)
And does anyone know the odds that three players could each hit three different sets on the flop (10 handed)
Thank you!
ok, not 100% sure about this but I think the math for all three players flopping a set would look like this:
2C1 * 2C1 * 2C1 / 46C3 that is 2 outs in the deck for player 1's PP with 1 on the flop * 2 outs in the deck for player 2's PP with 1 on the flop * 2 outs in the deck for player 3's PP with 1 on the flop / the total 46 card deck to be drawn from 3 times.
2C1 = 2
46C3 = (46)(45)(44) / (3)(2) reduces to (46)(15)(22)= 15180
2 * 2 * 2 / 15180 = 8 / 15180 = 0.00052 or 0.052%
thus all three players will make a set on the flop 0.05% of the time.
As to your question about 2 players flopping a flush. I think the math would look like:
9C3 / 48C3 that is 9 of you and your opponent's suit remaining in the deck (as you both hold a suited hand) three of which will be on the flop / the total 48 card deck drawn from 3 times
9C3 = (9)(8)(7) / (3)(2) reduces to (3)(4)(7) = 84
48C3 = (48)(47)(46) / (3)(2) reduces to (16)(47)(23) = 17296
84/ 17296 = 0.00485 or 0.485%
thus you and your opponent will both flop a flush 0.48% of the time you both hold a hand of the same suit.
As i said, I'm not really sure this is the correct way to solve the problem. If I have this all wrong, does anyone here know the correct way to do this? Thanks!
LetYouDown
12-01-2005, 08:26 PM
Assuming you have K-K vs. J-J vs. 8-8 and you want all three to flop a set:
8/C(46,3) = .0527% or 1896.5 to 1.
For two people to hit a flush, assuming both hold the same suit (obviously):
C(9,3)/C(48,3) = .4857% or about 204.9 to 1.
vBulletin® v3.8.11, Copyright ©2000-2024, vBulletin Solutions Inc.