Directions: For all the problems, read the problem and determine if it is binomial or geometric, then answer the question.

Question 1: The probability that a student passes the written test for a pilot's license is 0.75. What is the probability that a student will fail on the first attempt and pass on the second attempt?

Question 2: Fifty-four percent of U.S. adults think Congress should place size limits on carry-on bags. In a survey of 110 randomly chosen adults, people are asked, "Do you think Congress should place size limits on carry-on bags?" What is the probability that exactly 60 of the people answer yes?

Question 3: Twenty-nine percent of Americans ages 16 to 21 years old say that they would break up with their boyfriend/girlfriend for $10,000. What is the probability that the first person who says he or she would break up with their boyfriend /girlfriend for $10,000 is the fifth person selected?

Question 4:In a game with a spinner, players continue making spins until they spin "End of Turn". The "End of Turn" sector takes up 1/12 of the spinner. What is the probability that a player will be out before their fourth spin?

Question 5:Violet is taking a test with 20 multiple choice questions each with answers A, B, C, D, or E. Unfortunately, it is in a language she does not speak, so she is blindly guessing on them all. What is the probability that she gets at least half correct?

Question 6:Suppose that for a certain couple, the probability of a male birth is 0.47 and a female birth is 0.53. If the couple decides to continue having children until they have a son, what is the probability that they will have four children?