In a five card poker hand, if two of your cards are aces, what is the probability of a full house?
There is no specification of exactly 2 aces.
- M3Lv 79 years agoBest Answer
by two aces, i take it that it means exactly 2 aces.
n[full house with 2 aces ] = 4c2 *12c1*4c3 = A
n[2 aces] = 4c2*48c3 = B
P[full house | 2 aces] = A/B 48/48c3 = 3/1081 <-------
if 3 aces are also allowed, just add
n[full house with 3 aces] = 4c3*12c1*4c2 to = A"
n[3 aces] = 4c3*48c2 = B"
and compute (A+A") /(B+B")