Here's another question to add to the California Exit Exam for high school students in mathematics: If there are 80 questions on this test, and each of the 80 questions has 4 choices, what is the probability that someone could pass (>= 55%) [oops, first answer the question of how many questions out of a total of 80 questions 55% is] the test, if for each question he chose one of the 4 answers at random (p=25% for each answer). Alternatively, assuming that the test preparers aren't insane, what is the probability that someone could pass the test by always choosing the "A" answer for each question? Extra credit: using this probability, estimate the number of times one should take the test to raise the probability of passing it at least once to 80%.