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Chapter 11: Problem 44
Suppose you are asked to list, in order of preference, the three best movies you have seen this year. If you saw 20 movies during the year, in how many ways can the three best be chosen and ranked?
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Explaining the Concepts Write a probability word problem whose answer is one of the following fractions: \(\frac{1}{6}\) or \(\frac{1}{4}\) or \(\frac{1}{3}\)
Solve using matrices. Use Gaussian elimination with backsubstitution or Gauss- Jordan elimination. $$ \left\\{\begin{aligned} x-2 y+z &=-4 \\ 2 x+2 y-z &=10 \\ 4 x-y+2 z &=-1 \end{aligned}\right. $$ (Section \(9.1,\) Examples 3 and 5 )
A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 2 the second time.
Research and present a group report on state lotteries. Include answers to some or all of the following questions: Which states do not have lotteries? Why not? How much is spent per capita on lotteries? What are some of the lottery games? What is the probability of winning top prize in these games? What income groups spend the greatest amount of money on lotteries? If your state has a lottery, what does it do with the money it makes? Is the way the money is spent what was promised when the lottery first began?
Explaining the Concepts Give an example of two events that are not mutually exclusive.
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