Review of Probability Algebra 2
Show work for full credit
Sections 6-7 and 6-8
Evaluate each expression.
1. 2.
3. Draw Pascal’s triangle to the fifth row.
Using Pascal’s Triangle expand the binomial.
4.
5. In how many ways can you select a three-student study group from a 15 students?
6. In how many ways can you arrange 5 different canisters on a shelf?
Section 9-7
Classify each pair of events as dependent or independent.
7. A student in your algebra class is selected at random. One of the remaining students is selected a random.
8. A number 1 through 6 is chosen by tossing a standard number cube. The same number cube is tossed again to select a number 1 through 6.
Two standard number cubes are tossed. State whether the events are mutually exclusive.
9. One of the numbers is one less than the other. The sum is odd.
10. The sum is 12. One of the numbers is 5.
Name ______
A standard cube is tossed. Find each probability.
11. a 5 or a 6
12. an even or a number greater than 4
13. an odd number or a number less than 5
Section 12-2
Use the survey results.
· Of all respondents, 60% have 1 sibling and 20% have 2 or more siblings.
· Of the respondents with 0 siblings, 90% have their own room.
· Of the respondents with I sibling, 20% do not have their own room.
· Of the respondents with 2 or more siblings, 50% have their own room.
14. Make a tree diagram that reflects the results of the survey.
15. Find P(own room / 0 siblings)
16. P(share room / 1 sibling)
17. A bag contains 12 round pink candies, 11 round green candies, 5 square pink candies, and 7 square green candies. If a candy is chosen at random, what is the probability that it is a pink, given that it is a round?
Section 12-4
18. Find the variance and the standard deviation for the following set of values.
10
12
13
10
9
5
6
11