### MAT 157 Q

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1. Which of the following cannot be considered a probability of an outcome?

2. A box contains 9 red marbles, 8 green marbles, and 4 white marbles. If a marble is selected at random, what is the probability that it is not green?

3. A store has 3 colors of appliances, almond, white, and black. The

types of appliances are listed below.

If an item is selected at random, what is the probability that it is

almond or a refrigerator?

1. In a Statistics class there are 11 freshmen and 15 sophomores; 5 of the sophomores are females, and 8 of the freshmen are males. If a student is selected at random, what is the probability of selecting a freshman or a female?

2. What are the odds against drawing a card and getting a heart?

3. David gets 18 tails out of 32 tosses of a coin. This would be an example of what type of probability?

4. In a box of thirty AAA batteries, there are three defective batteries. Two batteries are randomly selected and tested. What is the probability that both are defective, if the first one is not replaced after being tested?

5. Box A contains 4 red and 6 blue balls. Box B contains 5 red and 10 blue balls. A box is selected at random and a ball is drawn. Find the probability that the ball is blue, given that it came from Box B.

6. The probability that a person makes an A in College Algebra is 0.20. The probability that a person got an A in College Algebra given than he or she had a 30 on the ACT test is 0.45. What is the probability of getting an A in College Algebra and getting a 30 on the ACT test?

7. A single card is drawn from a deck. What is the probability of selecting a queen or a heart?

8. The probability that John and Sue go to the movies is 0.35. The probability that Sue goes to the movies is 0.5. What is the probability that John goes to the movies given that Sue goes?

9. Two dice are rolled. What is the probability of getting a 4 or a 10?

10. In a small sporting goods store there are 3 managers, 8 salesmen, and 5 cashiers. If a person is selected at random, what is the probability that the person is a cashier or a manager?

11. The probability that Traci will visit Walt Disney World is 0.45, the probability that she will visit Epcot Center is 0.7. The probability that she will visit both places is 0.42. What is the probability that Traci visits Walt Disney World or Epcot Center?

12. In a recent survey 8 people watched ABC, 7 people watched NBC, and 12 people watched CBS. If a person is picked at random, what is the probability that the person watched NBC or CBS?

13. In a subdivision, 80% of the homes have garages and 45% have both a garage and a patio. If a home is selected at random, what is the probability that a home has a patio given that it has a garage?

14. If a die is rolled one time, what is the probability of getting a number smaller than 5?

15. P(A)=.37, P(B)=.19, P(A and B)=.13. What is the probability that A doesn't occur or B does?

16. A coin is weighted in such a way that a tail is twice as likely to occur as a head. If the coin is tossed twice, what is the probability of obtaining two tails?

17. If two cards are drawn from an ordinary deck of 52, what is the probability that the second card will be an ace if the first was a 5?

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