Hello, jenneedshelp!

Find the probability of:

1) a five-card poker hand dealt from a standard deck of cards

results in full house (3 of a kind, 2 of a kind)

There are: . possible 5-card hands.

For the Triple, there are choices for its value.

. . There are ways to select the Triple.

For the Pair, there are choices for its value.

. . There are ways to select the Pair.

Hence, there are: . possible Full Houses.

Therefore: .

2) Two face cards are drawn in a row (not replaced) from a standard deck of cards,

given that the first card drawn is a king.

We don't need Bayes' Theorem or anything fancy for this one . . .

There are Face Cards in a standard deck of cards.

If the first card drawn is a King,

. . there are Face Cards left among the remaiing cards.

Therefore: .