🚀 go-pugleaf

In article <1992Sep13.143329.24796@wuecl.wustl.edu>, ppc1@cec1.wustl.edu (Peter Pui Tak Chiu) writes:
> 
> hi everyone,
> 
> i am trying to find the probability of getting a hand of full house from a
> shuffled deck of 52 cards.
> 
> theoretically, the probability (i think) is:
> 
>         (13 * 4C2) * (12 * 4C3)
>         -----------------------  =  0.001440576
>                  52C5
> 
> but i wrote a c program to calculate this probability and the results turn
> out to be very different.



You're simulation is incorrect.  In your program your
are dealing from an infinite deck.  (in particular,
if the first card you deal is a king, then the
probability the second card is a king is 1/13
instead of 3/51 as it should be).

According to my calculations the probability of
getting a full house from an infinite deck of cards
is .00420....

This is the probability that you are simulating,

(Infinite decks do not arise a lot, but sometimes at
blackjack tables they deal from a large number of
decks in order to beat card counters.)


Greg Lawler