A standard deck of cards is well shuffled Let AC denote the

A standard deck of cards is well shuffled. Let AC denote the ace of clubs and KD denote the king of diamonds.

a) What is the probability the top card is AC?

b) What is the probability the second card is AC?

c) What is the probability the second card is AC given the top card is AC?

d) What is the probability the second card is AC given the top card is KD?

e) What is the probability the 5th card is AC?

f) What is the probability the 5th cars is AC given the second card is KD?

a. the probability the top card is AC=1/52

b. the probability the second card is AC=1/51

c. the probability the second card is AC given the top card is AC =zero (Second can\'t be AC as there is one AC in deck of cards)

d. probability the second card is AC given the top card is KD=1/52*1/51=1/(52*51)