Algebra 2
Review Chapter #12
Name ________________________________
Suppose you select a number at random from the sample space {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}. Find each probability.
1. P(less than 7)
2. P(multiple of 3)
3. P(odd or prime)
Evaluate each expression.
4. 3(4!)
5.
Calculate the following.
7. 8P3
8. 7C2
9. 4!
Formula _____________
Formula ____________
Write it out: _____________________________
Answer ____________
Answer ____________
Answer: __________
4
P3
6.
5
P2  5 C3
Indicate whether each situation involves a combination or a permutation. Then solve.
10. How many ways are there to select five actors from a troupe of nine to improvise a scene?
11. You are looking for a new apartment. There are five apartments available.
In how many ways can you visit each of the five the apartments?
Use the Binomial Theorem to expand each binomial.
12.
( x  z) 5
13.
( x  2) 3
14. A weighted coin has P(heads) = 40%. The coin is tossed seven times.
Find the probability of getting exactly six heads.
Use the frequency table below for Exercises 15 and 16.
Birthday Months of Respondents to a Survey
Month J F M A M J J A S O N
Male
0 1 2
1 1
3 2 0 1 1 0
Female 0 1 0
1 0
2 1 3 1 0 4
15.
Find P(birthday in August | female respondent).
D
2
1
16.
Find P(male respondent | birthday in June).
Use these survey results for Exercises 17 and 18.
 Of all respondents, 20% have 0 siblings, 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 1 sibling, 20% do not have their own room.
 Of the respondents with 2 or more siblings, 50% have their own room.
17. Make a tree diagram that reflects the results of the survey.
18.
Find P(share room and 1 sibling).
19. A spinner has twenty equal-size sections numbered from 1 to 20. If you spin the spinner, what is the probability
that the number you spin will be a multiple of 2 or a multiple of 3?
20. A box contains 20 red marbles and 30 blue marbles. A second box contains 10 white marbles and 47 black marbles.
If you choose one marble from each box without looking, what is the probability that you get a blue marble and a black marble?
21. 100,98,101,100,102,97,100
a.
22.
Find the mean
b.
Find the range
c.
Find the standard deviation
Of 50 people who rented clubs at a golf course, 38 were right-handed.
a.
Find the sample proportion as a percent.
b.
Find the margin of error.
c.
Find an interval likely to contain the true population proportion.
23. At a high school, 30% of the students buy class rings. You select five students at random.
Find P(exactly two buy rings)
P(at least two buy rings).
24. A set of data has a normal distribution with a mean of 29 and a standard deviation of 4.
Find the percent of data within each interval.
a. from 25 to 33
b. from 21 to 25
c. greater than 29
Algebra 2
Answers Review #12
Algebra 2
Answers Review #12
1.
2.
3.
4.
5.
6.
7.
1.
2.
3.
4.
5.
6.
7.
20%
30%
50%
72
24
30
; 8x7x6 = 336
8.
; (7x6)/(2x1) = 21
9. 4×3×2×1; 24
10. combination; 126
11. permutation/factorial; 120
12.
13.
14.
15.
16.
17.
18.
x 5  5 x 4 z  10 x 3 z 2  10 x 2 z 3  5 xz 4  z 5
x – 6x + 12x – 8
about 1.7%
3/14 = 21%
3/5 = 60%
3
2
12%
19. 65%
20. 49.5%
21.
a) 99.71
b) 5
c) 1.578
22.
a) 76%
b) +/- 14%
c) 62% to 90%
23.
P(exactly 2 buy rings) = 31%
P(at least 2 buy rings) = 47%
24.
a) 68%
b) 13.5%
c) 50%
Algebra 2
20%
30%
50%
72
24
30
; 8x7x6 = 336
8.
; (7x6)/(2x1) = 21
9. 4×3×2×1; 24
10. combination; 126
11. permutation/factorial; 120
12.
13.
14.
15.
16.
17.
18.
x 5  5 x 4 z  10 x 3 z 2  10 x 2 z 3  5 xz 4  z 5
x3 – 6x2 + 12x – 8
about 1.7%
3/14 = 21%
3/5 = 60%
12%
19. 65%
20. 49.5%
21.
a) 99.71
b) 5
c) 1.578
22.
a) 76%
b) +/- 14%
c) 62% to 90%
23.
P(exactly 2 buy rings) = 31%
P(at least 2 buy rings) = 47%
24.
a) 68%
b) 13.5%
c) 50%