1.) A baseball player has a lifetime batting average of 0.183. If, in a season, this player has 250 "at bats", what is the probability he gets 29 or more hits?

Probability of 29 or more hits =

2.) A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 30 times, and the man is asked to predict the outcome in advance. He gets 27 out of 30 correct. What is the probability that he would have done at least this well if he had no ESP?

Probability =