MATH QUESTION
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CH4.pdf
1. (2 points) An experiment consists of choosing a subset from a fixed number of objects where the arrangement/order of the chosen objects is not important. Determine the size of the sample space when you choose the following:
(a) 2 objects from 24 Answer : (b) 4 objects from 15 Answer : (c) 7 objects from 25 Answer : Answer(s) submitted:
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2. (2 points) Determine the size of the sample space that corresponds to the experiment of tossing a coin the following number of times:
(a) 2 times Answer: (b) 3 times Answer: (c) n times Answer: Answer(s) submitted:
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3. (2 points) Suppose you select a letter at random from the word MISSISSIPPI.
The probability of selecting the letter I is The probability of selecting the letter S is
The probability of selecting the letters P or M is The probability of not selecting the letter M is
Answer(s) submitted: • • • •
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4. (2 points) A fun size bag of M&Ms has about 18 candies. You open one of the bags and discover:
3 Blues, 3 Yellows, 5 Browns, 4 Reds and 3 Greens. The probability of choosing a brown is .
The odds in favor of choosing a yellow is The probability of choosing either a blue or a red is
The odds against a green being chosen is Answer(s) submitted:
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5. (2 points) Look at these tiles.
Haley puts these 12 tiles in a bag and shakes. Then she pulls out a tile at random.
What is the probability she picks a tile that is a multiple of 3? • A. 412 • B. 812 • C. 84 • D. 48
Answer(s) submitted:
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6. (2 points)
There are five Oklahoma State Officials: Governor (G), Lieu- tenant Governer (L), Secretary of State (S), Attorney General (A), and Treasurer (T). Take all possible samples without re- placement of size 3 that can be obtained from the population of five officials. (Note, there are 10 possible samples!)
(a) What is the probability that the governor is included in the sample?
(b) What is the probability that the governor, attorney general and the treasurer are included in the sample?
Answer(s) submitted:
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7. (2 points) What is the probability that a family with three children will have: a) All boys? b) One girl? c) Two girls?
Answer(s) submitted:
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8. (2 points) How many ways can a team of 25 hockey play- ers choose a captain and two alternate captains?
Answer(s) submitted:
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9. (2 points) A bookshelf has space for exactly 11 books. In how many ways can the books be arranged on the bookshelf?
Answer(s) submitted:
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10. (2 points) A park bench can seat 4 people. How many seating arrangements are possible if 4 people out of a group of 12 want to sit on the park bench?
Answer(s) submitted:
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11. (2 points) In how many ways can a person invite 4 out of their 14 closest friends to a dinner party?
Answer(s) submitted:
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12. (2 points) A company conducted a marketing survey of college students and found that 213 own a bicycle and 112 owned a car. If 22 of those surveyed own both a car and a bicy- cle, how many interviewed have a car or a bicycle?
Answer(s) submitted:
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13. (2 points) A company conducted a marketing survey of its clientele and found that 215 own an iPhone and 79 own an iPad. If 27 clients own both an iPhone and an iPad, how many interviewed have an iPhone or an iPad?
Answer(s) submitted:
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14. (2 points) A standard Missouri state license plate consists of a sequence of two letters, one digit, one letter, and one digit. How many such license plates can be made?
A standard New York state license plate consists of a se- quence of three letters followed by three digits. How many such license plates can be made?
Answer(s) submitted:
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15. (2 points) A test contains eight true/false questions. As- suming you attempt each question, in how many different ways could you answer the test?
Answer(s) submitted:
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