Chapter 11: Problem 11
Shoppers in a large shopping mall are categorized as male or female, over 30 or 30 and under, and cash or credit card shoppers. In how many ways can the shoppers be categorized?
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Chapter 11: Problem 11
Shoppers in a large shopping mall are categorized as male or female, over 30 or 30 and under, and cash or credit card shoppers. In how many ways can the shoppers be categorized?
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Mega Millions is a multi-state lottery played in most U.S. states. As of this writing, the top cash prize was \(\$ 656\) million, going to three lucky winners in three states. Players pick five different numbers from 1 to 56 and one number from 1 to 46 . Use this information to solve Exercises 7-10. Express all probabilities as fractions. A player wins a minimum award of \(\$ 150\) by correctly matching three numbers drawn from white balls ( 1 through 56 ) and matching the number on the gold Mega Ball \({ }^{\mathbb{E}}\) (1 through 46). What is the probability of winning this consolation prize?
In Exercises 43-48, an ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of apple juice.
A single die is rolled. Find the odds in favor of rolling a number less than 5 .
If people understood the mathematics involving probabilities and lotteries, as you now do, do you think they would continue to spend hundreds of dollars per year on lottery tickets? Explain your answer.
Mega Millions is a multi-state lottery played in most U.S. states. As of this writing, the top cash prize was \(\$ 656\) million, going to three lucky winners in three states. Players pick five different numbers from 1 to 56 and one number from 1 to 46 . Use this information to solve Exercises 7-10. Express all probabilities as fractions. A player wins a minimum award of \(\$ 10\) by correctly matching two numbers drawn from white balls (1 through 56 ) and matching the number on the gold Mega Ball (1 through 46). \(^{\oplus}\). What is the probability of winning this consolation prize?
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