Hello, Sneaky!

2. Suppose we are dealt five cards from a standard 52-card deck.

There are: .

What is the probability that

a) we get all 4 Aces and the King of Spades

There isway to get the four Acesone

. . andway to get theone

b) all 5 are Spades

There are: .

c) We get no pairs (all are different values)

The 1st card can becard: .any

The 2nd card must not match the 1st card: .

The 3rd card must not match the 1st or 2nd card: .

The 4th card must not match the first 3 cards: .

The 5th card must not match the first 4 cards: .

But we have imparted anto the five cards.order

Since their order doesmatter, there are:not

. .

d) a Full House (3 of a kind and 2 of a kind)

There are 13 choices for the value of the Triple.

. . There are: .

There are 12 choices for the value of the Pair.

. . There are: .

Hence, there are: .