Accelerated Algebra II
Section 15.5-15.9 Review
1. How many odd 2-digit positive integers less than 50 are there?
2. How many even 2-digit positive integers greater than 60 are there?
3. How many even 3-digit positive integers can be written using the digits 1, 3, 4, 5, and 6?
4. A bookshelf contains 6 different algebra books, 5 different geometry books, and 3 different
trigonometry books. In how many ways can you select:
A. any one of the math books?
B. one of each of the three types?
5. In how many ways can you select 4 cards, one after another, from a 52-card deck:
A. if the cards are returned to the deck after being selected?
B. if the cards are not returned to the deck after being selected?
6. In how many ways can 8 different cars parallel park along side of a street if there is room:
A. for all 8 cars?
B. for only 5 cars?
7. In how many ways can the letters of the word PITCHER be arranged using:
A. all 7 letters?
B. only 3 letters?
8. Find the number of ways the letters of each word can be arranged:
A. SOCCER
B. FOOTBALL
C. VOLLEYBALL
9. For the four letter set {A, B, C, D}, find:
A. all 3-letter subsets
B. the subsets containing fewer than 3 letters
10. How many combinations can be formed from the letters in NUMBER, taking them:
A. 5 at a time?
B. 3 at a time?
C. 2 at a time?
11. A sample of 4 light bulbs taken from a group of 50 light bulbs is to be inspected. How many
different samples could be selected?
12. Seven boys and 8 girls want to participate in a school play. In how many ways can a cast be selected
if it must have 4 boys and 5 girls?
13. In an experiment, each letter of the word SAMPLE is written on a separate card. The cards are
shuffled and one card is drawn.
A. Specify the sample space for the experiment.
B. Specify the event that the letter on the card that is drawn is a consonant.
14. A number wheel is divided into 12 congruent sectors, numbered 1-12. You spin the wheel and record
the number. Find the probability that the event is:
A. a 5
B. a 2-digit number
D. an odd number
C. a factor of 12
E. a negative number
15. Two dice are rolled. Find the probability of each event.
A. The sum of the numbers is 7
B. The sum is less than 6.
C. Exactly one die shows 3
D. At least one die shows 3
16. Two cards are drawn at random from a 52-card deck. Find the probability that:
A. both are spades
B. neither is black
C. both are 10’s
D. neither is a diamond
Answer key:
1. 20
2. 19
3. 50
4. A. 14
B. 90
5. A. 7,311,616
B. 6,497,400
6. A. 40,320
B. 6,720
7. A. 5040
B. 210
8. A. 360
B. 10,080
C. 151,200
9. A. {A, B, C}, {A, B, D}, {B, C, D}, {A, C, D}
B. {A,B}, {A,C}, {B,C}, {B,D}, {C,D}, {A}, {B}, {C}, empty set
10. A. 6
B. 20
C. 15
11. 230,300 samples
12. 1,960 ways
13. A. {S,A,M,P,L,E}
B. {S, M, P, L}
14. A. 1/12
B. ¼
C. ½
D. ½
15. A. 1/6
B. 5/18
C. 5/18
D. 11/36
16. A. 1/17
B. 25/102
C. 1/221
D. 19/34
E. 0