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*****In addition to this review, I recommend that you attend all classes, complete and review all homework assignments, and take any steps you consider necessary for yourself to succeed in the course.

Evaluate the expression. 1) 3! Answer: 6 2) 11C2 Answer: 55 3) 12C0 Answer: 1 4) 5P4 Answer: 120 5) 8P4 Answer: 1680 5) 4) 3) 2) 1)

6) How many different 4-digit sequences can be formed using the digits 0, 1,...,9 if repetition of digits is allowed? Answer: 10,000

6)

7) A shirt company has 3 designs each of which can be made with short or long sleeves. There are 5 color patterns available. How many different types of shirts are

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Find the probability of the event from a random sample of 10 students who are physics majors.

47) Exactly 2 belong to an ethnic minority. Answer: .1990

47)

Find the probability of the event. 48) A die is rolled 18 times and two threes come up. Answer: .230 48)

Solve the problem involving probabilities with independent events. 49) A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow. If the pointer is spun once, find the probability it will land on green and then yellow. Answer:

1 18

49)

50) A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow. If the pointer is spun three times, find the probability it will land on green every time. Answer:

1 27

50)

51) A single die is rolled twice. Find the probability of getting a 3 the first time and a 4 the second time. Answer:

1 36

51)

52) A single die is rolled twice. Find the probability of getting a 3 the first time and a 3 the second time. Answer:

1