18. Suppose a charitable organization decides to raise money by raffling a trip

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18. Suppose a charitable organization decides to raise money by raffling a trip worth $500. If 3,000 tickets are sold at $1.00 each, find the expected value of winning for a person who buys 1 ticket. A) -0.85 B)-1.00 C) -0.81 D)-.083 19. A child rolls a 6-sided die 6 times. What is the probability of the child rolling exactly three sixes (not necessarily in a row)? A)0.5362 B)0.0594 C) 0.4441 D)0.0536 20. A card is drawn at random from a well-shuffled, standard 52 -card deck. What is the probability of drawing a face card or a spade? A) 25/52 B) 1/2 C) 11/26D)6/13 21. There are 6 horses in a race. In how many ways can the first three positions of the finishing order be awarded? (Assume there are no ties.) A)18 B)20 C)124 D)120 22. A salesman packed 3 shirts and 5 ties. With one of the shirts, he can wear all 5 ties. With another of the shirts, he can wear 4 of the ties. With the third shirt, he can wear only 2 of the ties. How many shirt/tie choices does he have? A)11 B)22 C) 10 D)40 23. A license plate consists of 2 letters followed by 3 digits. Determine the maximum number of different license plates possible if repetition of letters and numbers is not permitted. A)468140 B)468,000 C)676,000 D)467980 24. A signal is made by placing 3 flags, one above the other, on a flag pole. If there are 7 different flags to choose from, how many possible signals can be flown? A)343 B)210 C)35 D)21 25. If p (A )=0.1 ,P (B )=0.1 , and P (A OR B ) =0, find P (A OR B ). A)P (A OR B ) = 0.4 B) P(A OR B )= 0.2 C) P( A OR B)= 0.1 D) P(A OR B )=0 26. If P (A )= 0.3 , P(B )= 0.3 , andP (A OR B )=0.3 , findP (A AND B ). A)P (A AND B )=0.2 B) P (A AND B )=0.3 C) P (A AND B )= 0.5 D) P(A AND B )=0.6 27. A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without looking, how many ways can you get exactly 4 apples? A)120 B)480 C) 60 D)30 28. How would you find the empirical probability of getting a red card, if you are choosing a card from an ordinary deck of 52 cards? A) Choose a card from a deck of 52 cards 2 times and then find the relative frequency of red cards. This would be done by dividing the number of times a red card has occurred by 2. B) Choose a card from a deck of 52 cards 52 times and then find the relative frequency of red cards. This would be done by dividing the number of times a red card has occurred by 52. C) Choose a card from a deck of 52 cards many times and then find the relative frequency of red cards. This would be done by dividing the number of times a red card has occurred by the total number of times a card was chosen. D) The empirical probability cannot be determined.

Explanation / Answer

question 1 A)18 question 2 B)22 question 3 D)467980 question 4 A)343

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