Hello, lllll!

You did pretty good . . .

There are: . five card Poker hands.

. . This denominator is used throughout the problem.

By the way, use:{52\choose5}or\binom{52}{5}

1) Five cards are dealt from a standard 52-card deck.

What is the probability that the draws will yield:

a) 3 Aces and 2 Kings?

b) 3 of a kind and 2 of a kind (a "Full House")

c) 1 Ace, 1 Two, 1 Three, 1 Four, 1 Five (a "Straight")

d) any Straight ( 5 ordered cards)

for a) I have that it is , since it is . . . . Right!

(b) There are 13 choices for the value of the Triple.

There are 12 choices for the value of the Pair.

Then there are to get the Triple

. . and ways to get the Pair.

The number of Full Houses is: .

The denominator is still: .for c) is it for the denominator . . . . no

and for the numerator . . . . yes

d) I think that the denominator is the same as c)

but the numerator will be 9 times the original . . . . not quite

There aretenStraights: .from A-2-3-4-5 to 10-J-Q-K-A

The probability is: .