Tom Fool wants to make his fortune playing the state lottery. To win the big prize, he

Chapter 10, Problem 11

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Tom Fool wants to make his fortune playing the state lottery. To win the big prize, he must select the six winning numbers, which are drawn from the numbers 1 to 50. He can select exactly six numbers for each ticket. a. How many sets of six different numbers from 1 to 50 are there? b. What is the probability that any one ticket will be a winner? c. If Tom buys 100 tickets each week, what is the probability that he wins in any one week? What is the probability that he loses in any one week?d. Draw a partial tree diagram of four weeks, and use the probability from 11c to determine the probability that he will lose all four weeks. e. Determine the probability that he will lose every week for one year (52 weeks). f. At $1 a ticket, 100 tickets a week, 52 weeks a year, what is his cost?

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