1) 5 cards are dealt from a standard 52-card deck. What is the probability that the draws will wield:

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's

for b) all I know is that it's going to be

for c) is it for the denominator and for the numerator which equals

and d) I think that the denominator is the same as c) but the numerator will be 9 times the original, since there are 9 different choices which equals

are these right?