1. This is a spinner used in a board game. What is the probability that the spinner will land on a
multiple of 3 and 4?
2. A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles. Find P(red or blue).
3. In how many different orders can you line up 8 cards on a shelf?
4. Verne has 6 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many more
orders can Verne line up his books than Jenny?
Evaluate the expression.
5. 5!
6.
7.
8. There are 10 students participating in a spelling bee. In how many ways can the students who go first and second in
the bee be chosen?
10. In how many ways can 3 singers be selected from 5 who came to an audition?
11. There are 6 people on the ballot for regional judges. Voters can vote for any 4. Voters can choose to vote for 0¸ 1¸ 2¸
3¸ or 4 judges. In how many different ways can a person vote?
Use Pascal’s Triangle to expand the binomial.
12.
13.
14. Suppose 10 out of 25 students in your class have dogs for pets.
What is the theoretical probability that a student selected at random from your class has
a dog?
Probability Quiz
Answer Section
SHORT ANSWER
1. ANS:
PTS: 1
DIF: L2
REF: 1-6 Probability
OBJ: 1-6.2 Theoretical Probability
NAT: NAEP D4c| NAEP D4d| CAT5.LV21/22.45| CAT5.LV21/22.46| CAT5.LV21/22.48|
CAT5.LV21/22.53| IT.LV17/18.DP| IT.LV17/18.DI| IT.LV17/18.FR| S9.TSK3.DSP| S9.TSK3.NS|
S10.TSK3.DSP| S10.TSK3.NS| TV.LV21/22.10| TV.LV21/22.12| TV.LV21/22.15| TV.LV21/22.47|
TV.LVALG.53
STA: MI L1.3.2| MI S4.1.1| MI S4.2.1| MI S4.2.2| MI *S4.1.3
TOP: 1-6 Example 3
KEY: theoretical probability
2. ANS:
5
8
PTS: 1
DIF: L2
REF: 1-6 Probability
OBJ: 1-6.2 Theoretical Probability
NAT: NAEP D4c| NAEP D4d| CAT5.LV21/22.45| CAT5.LV21/22.46| CAT5.LV21/22.48|
CAT5.LV21/22.53| IT.LV17/18.DP| IT.LV17/18.DI| IT.LV17/18.FR| S9.TSK3.DSP| S9.TSK3.NS|
S10.TSK3.DSP| S10.TSK3.NS| TV.LV21/22.10| TV.LV21/22.12| TV.LV21/22.15| TV.LV21/22.47|
TV.LVALG.53
STA: MI L1.3.2| MI S4.1.1| MI S4.2.1| MI S4.2.2| MI *S4.1.3
TOP: 1-6 Example 3
KEY: theoretical probability
3. ANS:
40,320
PTS: 1
DIF: L2
REF: 6-7 Permutations and Combinations
OBJ: 6-7.1 Permutations
NAT: NAEP D4e| CAT5.LV21/22.51| CAT5.LV21/22.52| IT.LV17/18.CP| S9.TSK3.NS| S9.TSK3.PRA|
S10.TSK3.NS| S10.TSK3.PRA| TV.LV21/22.10| TV.LV21/22.15| TV.LVALG.53
STA: MI L1.3.1
TOP: 6-7 Example 1
KEY: permutation | factorial | problem solving
4. ANS:
696
PTS: 1
DIF: L3
REF: 6-7 Permutations and Combinations
OBJ: 6-7.1 Permutations
NAT: NAEP D4e| CAT5.LV21/22.51| CAT5.LV21/22.52| IT.LV17/18.CP| S9.TSK3.NS| S9.TSK3.PRA|
S10.TSK3.NS| S10.TSK3.PRA| TV.LV21/22.10| TV.LV21/22.15| TV.LVALG.53
STA: MI L1.3.1
TOP: 6-7 Example 1
KEY: permutation | factorial | problem solving
5. ANS:
120
PTS: 1
DIF: L2
REF: 6-7 Permutations and Combinations
OBJ: 6-7.1 Permutations
NAT: NAEP D4e| CAT5.LV21/22.51| CAT5.LV21/22.52| IT.LV17/18.CP| S9.TSK3.NS| S9.TSK3.PRA|
S10.TSK3.NS| S10.TSK3.PRA| TV.LV21/22.10| TV.LV21/22.15| TV.LVALG.53
STA: MI L1.3.1
TOP: 6-7 Example 1
KEY: factorial
6. ANS:
3,024
PTS: 1
DIF: L2
REF: 6-7 Permutations and Combinations
OBJ: 6-7.1 Permutations
NAT: NAEP D4e| CAT5.LV21/22.51| CAT5.LV21/22.52| IT.LV17/18.CP| S9.TSK3.NS| S9.TSK3.PRA|
S10.TSK3.NS| S10.TSK3.PRA| TV.LV21/22.10| TV.LV21/22.15| TV.LVALG.53
STA: MI L1.3.1
TOP: 6-7 Example 2
KEY: permutation
7. ANS:
7
PTS: 1
DIF: L2
REF: 6-7 Permutations and Combinations
OBJ: 6-7.2 Combinations
NAT: NAEP D4e| CAT5.LV21/22.51| CAT5.LV21/22.52| IT.LV17/18.CP| S9.TSK3.NS| S9.TSK3.PRA|
S10.TSK3.NS| S10.TSK3.PRA| TV.LV21/22.10| TV.LV21/22.15| TV.LVALG.53
STA: MI L1.3.1
TOP: 6-7 Example 3
KEY: permutation
8. ANS:
90 ways
PTS: 1
DIF: L2
REF: 6-7 Permutations and Combinations
OBJ: 6-7.1 Permutations
NAT: NAEP D4e| CAT5.LV21/22.51| CAT5.LV21/22.52| IT.LV17/18.CP| S9.TSK3.NS| S9.TSK3.PRA|
S10.TSK3.NS| S10.TSK3.PRA| TV.LV21/22.10| TV.LV21/22.15| TV.LVALG.53
STA: MI L1.3.1
TOP: 6-7 Example 2
KEY: permutation | Multiplication Counting Principle | problem solving
9. ANS:
30
PTS: 1
DIF: L2
REF: 6-7 Permutations and Combinations
OBJ: 6-7.1 Permutations
NAT: NAEP D4e| CAT5.LV21/22.51| CAT5.LV21/22.52| IT.LV17/18.CP| S9.TSK3.NS| S9.TSK3.PRA|
S10.TSK3.NS| S10.TSK3.PRA| TV.LV21/22.10| TV.LV21/22.15| TV.LVALG.53
STA: MI L1.3.1
TOP: 6-7 Example 2
KEY: permutation | Multiplication Counting Principle | problem solving
10. ANS:
10
PTS: 1
DIF: L3
REF: 6-7 Permutations and Combinations
OBJ: 6-7.2 Combinations
NAT: NAEP D4e| CAT5.LV21/22.51| CAT5.LV21/22.52| IT.LV17/18.CP| S9.TSK3.NS| S9.TSK3.PRA|
S10.TSK3.NS| S10.TSK3.PRA| TV.LV21/22.10| TV.LV21/22.15| TV.LVALG.53
STA: MI L1.3.1
TOP: 6-7 Example 4
KEY: permutation
11. ANS:
57
PTS: 1
DIF: L3
REF: 6-7 Permutations and Combinations
OBJ: 6-7.2 Combinations
NAT: NAEP D4e| CAT5.LV21/22.51| CAT5.LV21/22.52| IT.LV17/18.CP| S9.TSK3.NS| S9.TSK3.PRA|
S10.TSK3.NS| S10.TSK3.PRA| TV.LV21/22.10| TV.LV21/22.15| TV.LVALG.53
STA: MI L1.3.1
TOP: 6-7 Example 5
KEY: combination | factorial | problem solving
12. ANS:
PTS: 1
DIF: L2
REF: 6-8 The Binomial Theorem
OBJ: 6-8.1 Binomial Expansion and Pascal's Triangle
NAT: NAEP A3b| NAEP A3c| CAT5.LV21/22.52| CAT5.LV21/22.54| IT.LV17/18.AM| IT.LV17/18.CP|
S9.TSK3.NS| S9.TSK3.PRA| S10.TSK3.NS| S10.TSK3.PRA| TV.LV21/22.10| TV.LV21/22.12|
TV.LV21/22.16| TV.LVALG.53
STA: MI L1.3.1| MI S4.2.1| MI S4.2.2
TOP: 6-8 Example 2
KEY: Pascal's Triangle | binomial expansion
13. ANS:
PTS: 1
DIF: L2
REF: 6-8 The Binomial Theorem
OBJ: 6-8.1 Binomial Expansion and Pascal's Triangle
NAT: NAEP A3b| NAEP A3c| CAT5.LV21/22.52| CAT5.LV21/22.54| IT.LV17/18.AM| IT.LV17/18.CP|
S9.TSK3.NS| S9.TSK3.PRA| S10.TSK3.NS| S10.TSK3.PRA| TV.LV21/22.10| TV.LV21/22.12|
TV.LV21/22.16| TV.LVALG.53
STA: MI L1.3.1| MI S4.2.1| MI S4.2.2
TOP: 6-8 Example 1
KEY: Pascal's Triangle | binomial expansion
ESSAY
14. ANS:
[4] a.
b.
[3] part (a) correct, but minor
computational error in part (b) or
no work shown
[2] part (a) incorrect, but part (b) calculated using
appropriate method
[1] part (a) correct
PTS: 1
DIF: L3
REF: 1-6 Probability
OBJ: 1-6.2 Theoretical Probability
NAT: NAEP D4c| NAEP D4d| CAT5.LV21/22.45| CAT5.LV21/22.46| CAT5.LV21/22.48|
CAT5.LV21/22.53| IT.LV17/18.DP| IT.LV17/18.DI| IT.LV17/18.FR| S9.TSK3.DSP| S9.TSK3.NS|
S10.TSK3.DSP| S10.TSK3.NS| TV.LV21/22.10| TV.LV21/22.12| TV.LV21/22.15| TV.LV21/22.47|
TV.LVALG.53
STA: MI L1.3.2| MI S4.1.1| MI S4.2.1| MI S4.2.2| MI *S4.1.3
KEY: theoretical probability | rubric-based question | extended response