Calculating the odds of flopping trips?

bdk3clash · #1 11-09-2003, 08:48 PM

How would one calculate the odds of flopping trips (or quads) from a non-pair starting hand?

BruceZ · #2 11-09-2003, 09:53 PM

[ 2*C(3,2)*47 + 2 ] / C(50,3) = 68:1

bigpooch · #3 11-18-2003, 09:02 AM

There are C(50,3) = 19600 possible flops of which

2 give you quads
2xC(3,2)xC(3,1) = 18 give you a full house
and 2xC(3,2)x44 = 264 give you trips

odds of quads are then 2/19600 = 1/9800
odds of full house = 18/19600 = 9/9800
odds of trips = 264/19600 = 33/2450