1. Four fair coins are tossed. Find the probability that three of the tosses resulted in tails.

2. A bag contains 14 yellow, 6 pink, 12 black, and 8 orange marbles. 25 marbles are removed from the bag randomly. How many of the removed buttons were pink if the chance of drawing a pink marble is now 1/3?

Recall that a poker hand is a randomly dealt subset of 5 cards from a standard deck of 52 cards. Find the probability of obtaining the following hands: