Please show al work.

A. Carrie draws 6 cards simultaneously from a well-shuffled deck of 52 playing cards

1.What is the probability that she chooses 4 spades and 2 cards that are not spades?

2.What is the probability that she chooses 2 red face cards?

B.A group of 25 people contains 11 males and 14 females. Six people are chosen at random.

1.What is the probability that 2 females are chosen?

2.What is the probability that at most 5 male are chosen?