1. A box has 5 white and 3 black balls, and 2 balls are selected without replacement.

a. Find the probability that both are white.

2. Consider a deck of 52 cards. If you choose 8 cards

a. what is the probability that either ace of spade or ace of heart or both are among the cards?

b. what is the probability that ace of spade is chosen given that ace of heart is chosen?

3. In a card game a player needs to get two cards of the same suit in order to win. What is the probability that he/she wins, if the first card the player draws is a heart?