[lossage]

[ QUOTE ]
10 players at the table... Flop is JJA.

1. What is the probability that 0 players have been dealt a J?

[/ QUOTE ]

There are 49 cards left for people to be dealt. There are C(49,20) sets of cards that could be dealt to players. C(47,20) of those sets contain neither of the remaining jacks. Therefore, the probability that nobody has a jack is: C(47,20)/C(49,20) = 0.345.

For nine players, it's: C(47,18)/C(49,18) = 0.395. For eight, C(47,16)/C(49,16) = 0.449.

Hopefully, this will help get you started.