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Chapter 10: Problem 2
Evaluate. $$6 !$$
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Concepts This set of exercises will draw on the ideas presented in this section and your general math background. If \(a_{n}=\sqrt{a_{n-1}}+\frac{1}{1000}\) for \(n=1,2,3, \ldots,\) for what value(s) of \(a_{0}\) are all the terms of the sequence \(a_{0}, a_{1}, a_{2}, \ldots\) defined?
In a telephone survey, people are asked whether they have seen each of four different films. Their answers for each film (yes or no) are recorded. (a) What is the sample space? (b) What is the probability that a respondent has seen exactly two of the four films? (c) Assuming that all outcomes are equally likely, what is the probability that a respondent has seen all four films?
The 10 friends in Exercise 33 all have different last names. The seats they purchased for the movie are numbered 1 through \(10 .\) If the tickets are distributed among the friends at random, what is the probability the friends will be seated in alphabetical order from seat 1 to seat \(10 ?\)
Consider the following experiment: pick one coin out of a bag that contains one quarter, one dime, one nickel, and one penny. What is the probability of picking a nickel?
Answer True or False. When picking one coin at random from a bag that contains one quarter, one dime, one nickel, and one penny, "picking a coin with a value of more than one cent" and "picking a penny" are mutually exclusive events.
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