Hello, c00ps!

I assume you meanIf 11 cards are dealt from a 216 card deck (four 54 card decks, 2 jokers each),

what is the probability of there being 2 of a kind (not including jokers)?

Then, what is the probability of the next drawn card making 3 of a kind?exactlyone 2-of-a-kind . . . and the other 9 cards do not match.

There are: . possible 11-card hands.

There are choices for the value of the pair.

Then there are: . ways to get that pair.

The other nine cards are 'singletons'.

There are: . choices for their values.

There are choices for each value.

Hence, the nine cards can be selected in: . ways.

Therefore: .