AA2 Chapter 7 and 11 Quiz REVIEW

AA2 Chapter 7 and 11 Quiz REVIEW
For questions 1– 5, use the Law of Sines or Cosines to solve for the missing side or angle.
1.
2.
79°
6
3.
x
59°
Ɵ
8
65°
42°
13
70°
x
6.7
4.
5.
3
98°
5
x
4
Ɵ
11
13
6. Use the formula for nPr to
evaluate the following expression:
8P4
7. Use the formula for nCr to
evaluate the following expression:
11C8
8. Determine whether the following problem involves a permutation or combination: A medical
researcher needs 13 people to test the effectiveness of an experimental drug. If 29 people have
volunteered for the test, in how many ways can 13 people be selected? Don’t solve the problem.
9. Determine whether the following problem involves a permutation or combination: How many
different 6-letter passwords can be formed from the letters Q, R, S, T, U, V, and W if no repetition of
letters is allowed? Don’t solve the problem.
10. In a race in which eight automobiles
are entered and there are no ties, in
how many ways can the first three
finishers come in?
11. To win at LOTTO in one state, one
must correctly select 6 numbers from
a collection of 46 numbers (1 through
46). The order in which the selection
is made does not matter. How many
different selections are possible?
AA2 Chapter 7 and 11 Quiz REVIEW
12.
What is the probability of randomly selecting a female member of the Army?
Male
Female
TOTAL
Army
Navy
25
10
35
26
8
34
Marine
Corps
8
2
10
Air
Force
16
6
22
TOTAL
75
26
101
13. What is the probability of randomly selecting someone who is 50 years old or more from those who
are male?
0 – 24
22.7
21.8
44.5
Male
Female
TOTAL
25 – 49
24.4
25.1
49.5
50+
29.9
32.3
62.2
TOTAL
77.0
79.2
156.2
14. A fifteen-sided die is rolled. The die’s faces are labeled with the numbers 1 through 15, and each
number is equally likely to be rolled. What is the probability of rolling an odd number?
15. A fair, two-sided coin is flipped 4 times. The sample space is shown below. What is the probability of
getting at most 2 heads?
16. What is the probability of being dealt a 7-card hand that is all hearts? (HINT: first determine how
many possible 7-card hands can be dealt from the hearts only; then determine how many total 7card hands can be dealt).
17. You are dealt one card from a 52-card deck. Find the probability that you are NOT dealt a king.
18. What is the probability of randomly selecting someone that has completed four years of high school
only OR is a male?
Years of High School
Male
Female
TOTAL
Less than 4
4 only
15
13
28
30
25
55
Years of College
Some (less
4 or
than 4)
more
19
18
24
25
43
43
TOTAL
82
87
169
AA2 Chapter 7 and 11 Quiz REVIEW
19. One card is dealt from a 52-card deck. Find the probability that the dealt card is a red 7 OR a jack.
20. A single die is rolled twice. Find the probability of rolling an even number the first time AND a
number greater than 1 the second time.
21. If you toss a fair coin 4 times, what is the probability of getting all heads?
22. A card is drawn from a modified deck (no face cards). Find the probability of drawing a nine.
23.
The tree diagram relates snowfall and school
closings. Find the probability that there is
heavy snow AND schools stay open.
H = Heavy Snow, L = Light Snow, O = Open, C = Closed