Concept explainers
In one lottery game, contestants pick five numbers from 1 through 40 and have to match all five for the big prize (in any order). Exercises 17–22 refer to this game.
21. Find the probability that you win some money when buying one ticket. (Refer to Exercises 17–20.)
17. What’s the probability you’ll win if you buy one ticket? (Hint: Your chances are NOT good.)
18. You’ll get second prize in the lottery game in Problem 17 if you match four of the five numbers. Find the probability of winning second prize if you buy five tickets.
19. You’ll get twice your money back if you match three of the five numbers. If you buy two tickets, what’s the probability of matching three out of five numbers?
20. What’s the probability of utter failure in this game, defined by yours truly to mean matching none of the numbers?

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