6) Michael has 7 different pairs of shorts. He is considering taking at least one pair of shorts with him on his upcoming trip. How many options does he have if a) He wants to take at least one pair of shorts? [2 marks] b) He wants to take at most 5 pairs of shorts? [2 marks] 7) Consider the following equal-segment spinner. Calculate the expected value of the game with the following rules: If you spin a prime number you win that number of points. If you spin a number that is not prime, you lose that number of points.[2 marks] 8) A family is going on a road trip. There are 16 tourist attractions on their way. The probability that they stop at any of these tourist attractions is 0.87. What is the probability that they stop at most 14? (assuming decisions to stop at any of these tourist attractions is independent) [2 marks]