Basic Cards Probability

[BonJoviJones]

I was playing a card game the other day where two decks are merged (each with 2 jokers) and dealt completely out to four players (108 cards total, 27 cards per hand).

The first hand I was dealt no hearts, and I was curious what the chance of that is.

My work on it gets me:

f(x) = 1 - ( 26 / x ) = Chance of not getting a heart with x cards remaining

The answer then is

Product of all f(x) where x = 81 to 108

Is that the correct equation?

[irchans]

I think you want

Product of all f(x) where x = 8<font color="red">2</font color> to 108

which is about 0.0001639 or 1/6103.