In this problem we assume that we use a standard 52card deck

In this problem we assume that we use a standard 52-card deck of playing cards. All 52 cards are dealt to 4 players at random (13 each).

a) Find the probability that two of them have all the spades.

b)Find the probability that two of them have all the spades and hearts.

c) Find the probability that they all have an ace, a king, a jack, and a queen of the same suit and two of them has all the spades.

d) Find the probability that they all have an ace, a king, and a queen of the same suit and one of them has all the spades.

e) Find the probability that they all have an ace, a king, and a queen of different suits and two of them have all the spades.