1. A student and a professor each choose a number between 1 and 7 (1 and 7 are both possible choices). What is the probability that the two choose the same number?
A) 2/49 B) 7/49 C) 14/49 D) 1/49
2. Evaluate the following: 7P3.
A) 5,040 B) 210 C) 6 D) 35
3. A group of 12 male and 4 female students is planning to go out for pizza. If 50% of the male students go and 25% of the female students go, find the probability that a random student who goes out for pizza is female.
A) 4/12 B) 12/4 C) 1/4 D) 1/7
4. What is the set of all possible outcomes of a probability experiment?
A) sample space B) Venn diagrams C) outcome D) events
5. How many possible outcomes would there be if three coins were tossed once?
A) 8 B) 6 C) 2 D) 4
8. A store manager wants to display 7 different brands of toothpaste in a row. How many ways can this be done?
A) 5040 B) 7 C) 42 D) 720
9. If the probability that it will rain tomorrow is 0.25, then the probability that it will not rain tomorrow is:
A) -0.25 B) 0.75 C) 1.25 D) 0.25
10. Tree diagrams are useful for
A) Showing that the outcome is the set of all possible sample spaces
B) Illustrating the law of large numbers
C) Finding all possible outcomes in a probability experiment
D) All of the above
11. There are 20 first grade children, 50 second grader children, and 40 third grade children in a school. What is the conditional probability of choosing a second grade child, given that either a first grade or a second grade child was chosen?
A) 0.45 B) 0.18 C) 0.29 D) 0.71
12. A bookcase contains 2 statistics books and 4 biology books. If 2 books are chosen at random, the chance that both are statistics books is
A) 6 / 15 B) 7 C) 15 / 7 D) 1 / 15
14. A single card is drawn from a deck. Find the probability of selecting a heart or a 5.
A) 17/52 B) 16/52 C) 5/52 D) 13/52
15. An apartment building has the following apartments:
1 bedroom 2 bedroom 3 bedroom
1st floor 3 0 1
2nd floor 2 2 2
3rd floor 1 4 1
If an apartment is selected at random, what is the probability that it is not a 2 bedroom apartment on the 2nd floor?
A) 14/16 B) 2/14 C) 2/6 D) 10/14
16. A coin is tossed 3 times. Find the probability that all 3 tosses are tails.
A) 1/6 B) 1/3 C) 1/9 D) none of the above
17. How many different ways can four people: Andy, Betty, Cindy, and Doug, sit in a row at the opera if Andy and Betty must sit together?
A) 12 B) 6 C) 18 D) 24
18. A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done?
A) 210 B) 840 C) 420 D) 5,040
20. At a certain college, there were 400 science majors, 100 engineering majors, and 600 business majors. If one student was selected at random, the probability that they are an engineering major is
A) 10/11 B) 1/1 C) 1/10 D) 1/11