1. You are trying a new restaurant that offers a sampler where you get to choose five appetizers from a list of 12. How many ways can you choose a sampler?
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7. It can feel like many flights arrive late when you are traveling, but, in fact, only 15% of U.S. flights arrive late. What is the probability that a U.S. flight will arrive on time?
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11. According to the Pew Research Center, 38% of adults get their news online.Five adults are randomly selected. What is the probability of getting exactly 2 adults who get their news online and 3 adults who get their news elsewhere?
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15. Peter wants to change his password which is P3t3RR! but with the same letters, numbers, and symbols.How many ways is this possible?
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21. Assume that there is a 2.5% rate of disk drive failure in a year.You are smart and decide to back up your hard drive on an external hard drive. What is the probability that at least one of your two hard drives will fail in a year?
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25. Consider a standard 52-deck of cards.How many cards must you pick to ensure that you pick at least one diamond?
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31. Assume that there is a 2.5% rate of disk drive failure in a year.You are smart and decide to back up your hard drive on an external hard drive. What is the probability that both of your hard drives will fail during the same year?
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37. Imagine a bag that contains 13 white marbles, 8 black marbles, 5 red marbles, and 7 orange marbles.What is the probability of picking a red marble?
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43. You are at a restaurant and see that there are 6 types of sandwiches, 3 choices for a side, 2 options for a dessert, and 6 options for a drink.How many ways are there to choose one sandwich, one side, one dessert, and one drink?