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Chapter 5: Q. 57 (page 329)
The most common bet in craps is the 鈥減ass line.鈥� A pass line bettor wins immediately if either a or ancomes up on the first roll. This is called a natural. What is the probability that a natural does not occur?
a.
b.
c.
d.
e.
The probability that a natural does not occur is (e)
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The security system in a house has two units that set off an alarm when motion is
detected. Neither one is entirely reliable, but one or both always go off when there is
motion anywhere in the house. Suppose that for motion in a certain location, the
probability that detector A goes off and detector B does not go off is , and the
probability that detector A does not go off is . What is the probability that detector
B goes off?
Mystery box Ms. Tyson keeps a Mystery Box in her classroom. If a student meets expectations for behavior, she or he is allowed to draw a slip of paper without looking. The slips are all of equal size, are well mixed, and have the name of a prize written on them. One of the 鈥減rizes鈥濃�攅xtra homework鈥攊sn鈥檛 very desirable! Here is the probability model for the prizes a student can win:
a. Explain why this is a valid probability model.
b. Find the probability that a student does not win extra homework.
c. What鈥檚 the probability that a student wins candy or a homework pass?
A spinner has three equally sized regions: blue, red, and green. Jonny spins the spinner times and gets blues in a row. If he spins the spinner more times, how many more blues is he most likely to get?
Get rich A survey of 4826 randomly selected young adults (aged ) asked, 鈥淲hat do you think are the chances you will have much more than a middle-class income at age ?鈥� The two-way table summarizes the responses.
Choose a survey respondent at random. Define events G: a good chance, M: male, and N: almost no chance.
a. Find . Interpret this value in context.
b. Given that the chosen survey respondent didn鈥檛 say 鈥渁lmost no chance,鈥� what鈥檚 the probability that this person is female? Write your answer as a probability statement using correct symbols for the events.
Which one of the following is true about the events 鈥淥wner has a Chevy鈥� and
鈥淥wner鈥檚 truck has four-wheel drive鈥�?
a. These two events are mutually exclusive and independent.
b. These two events are mutually exclusive, but not independent.
c. These two events are not mutually exclusive, but they are independent.
d. These two events are neither mutually exclusive nor independent.
e. These two events are mutually exclusive, but we do not have enough information to determine if they are independent.
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