Exam 5: Probability

A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}. -Find the probability of getting two numbers whose sum is greater than 10.

A sample of 285 shoppers at a large suburban mall were asked two questions: (1) Did you see a television ad for the sale at department store X during the past 2 weeks? (2) Did you shop at department store X during the past 2 weeks? The responses to the questions are summarized in the table. What is the probability that a randomly selected shopper from the 285 questioned did not shop at department store X? Round the the nearest thousandth.

Find the indicated probability. -If P(A) = 0.6, P(B) = 0.3, and P( A or B) = 0.6, find P(A and B) .

A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members regularly use each facility. A survey of the membership indicates that 61% regularly use the golf course, 44% regularly use the tennis courts, and 5% use neither of these facilities regularly. What percentage of the 600 use at least one of the golf or tennis facilities?

Consider the data in the table shown which represents the marital status of males and females 18 years or older in the United States in 2003. Determine the probability that a randomly selected U.S. resident 18 years or older is divorced or a male? Round to the nearest hundredth.

The probability that event A will occur is P(A) =

Find the indicated probability. -Suppose that S and T are two events, P(S) = 0. 58 and P( S) = 0. 14. What is P(S and T)?

Suppose that events E and F are independent, P(E) = 0.8 and P(F ) = 0.7. What is the P(E and F )?

Assume that P(E) = 0.15 and P(F) = 0.48. If E and F are independent, find P(E and F) .

The table lists the drinking habits of a group of college students. If a student is chosen at random, find the probability of getting someone who is a man or a non-drinker. Round your answer to three decimal places.

Find the indicated probability. -If P(B) = 0.6, P(A or B) = 0.7, and P(A and B) = 0.3, find P(A).

Which of the following probabilities for the sample points A, B, and C could be true if A, B, and C are the only sample points in an experiment?

The table lists the drinking habits of a group of college students. If a student is chosen at random, find the probability of getting someone who is a man or a woman. Round your answer to three decimal places.

A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}. - Find the probability of getting two numbers whose sum is greater than 9 and less than 13.

Find the value of the combination. -

A probability experiment is conducted in which the sample space of the experiment is Let event and event Assume that each outcome is equally likely. List the outcomes in A and B. Are A and B mutually exclusive?

A game has three outcomes. The probability of a win is 0.4, the probability of tie is 0.5, and the probability of a loss is 0.1. What is the probability of not winning in a single play of the game.

CampusFest is a student festival where local businesses come on campus to sell their goods to students at vastly reduced prices. As part of a give-away promotion, a local cellular phone company gave away 500 cellular phones to students who signed up for their calling service. Unbeknownst to the company is that 60 of these cellular phones were faulty and will cause a small explosion when dialed outside the local calling area. Suppose you and your roommate each received one of the giveaway phones. Find the probability that both of you received faulty phones. Round to five decimal places when necessary.

If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability that none of the 5 cards are picture cards.

You are dealt one card from a 52-card deck. Find the probability that you are not dealt a 5. Express the probability as a simplified fraction.