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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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Consider a political discussion group consisting of 5 Democrats, 6 Republicans, and 4 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Republican.
Are related to the SAT, described in Check Point 4 on page \(752 .\) A store specializing in mountain bikes is to open in one of two malls. If the first mall is selected, the store anticipates a yearly profit of \(\$ 300,000\) if successful and a yearly loss of \(\$ 100,000\) otherwise. The probability of success is \(\frac{1}{2}\). If the second mall is selected, it is estimated that the yearly profit will be \(\$ 200,000\) if successful; otherwise, the annual loss will be \(\$ 60,000\). The probability of success at the second mall is \(\frac{3}{4}\). Which mall should be chosen in order to maximize the expected profit?
The model of the car you are thinking of buying is available in nine different colors and three different styles (hatchback, sedan, or station wagon). In how many ways can you order the car?
Explain how to find and probabilities with dependent events. Give an example.
In Exercises 77-81, write a probability problem involving the word "and" whose solution results in the probability fractions shown. \(\frac{1}{2} \cdot \frac{1}{2}\)
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