Hearts

Imagine you have a standard deck of 52 playing cards. I draw one card and reveal that it's a heart. Now, it's your turn to draw a card from the remaining deck. What is the probability that your card will also be a heart? Now, consider the same deck of 52 cards. I draw 13 cards and inform you that I've drawn exactly 5 hearts. You then draw 13 cards from the remaining deck. What is the expected number of hearts in your hand?