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- 1. Fill in the Blank
You spin a spinner with 6 sections: 1 yellow (Y), 1 purple (P), 1 red (R), 1 blue (B), 1 orange, and 1 green (G).
What is the sample space for one spin of this spinner?
- 2. Fill in the Blank
Let event A = The animal is a bird.
Let event B = The animal can fly.
Which outcomes are in A and B?
- 3. Fill in the Blank
Kellie randomly chooses a number from 1 to 12. What is the probability she chooses a number less than 7?
- 4. Fill in the Blank
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(A or B)?
- 5. Fill in the Blank
P(A) = 0.60, P(B) = 0.25, and
P(A and B) = 0.15.
What is P(A or B)?
- 6. Multiple Choice
A pet store sells mice, reptiles, and birds.
Let event A = A customer buys a mouse.
Let event B = A customer buys a bird.
What does P(A or B) = 0.35 mean in terms of this problem?
The probability that a customer buys either a mouse or a bird is 35%.
Buying a mouse and buying a bird are mutually exclusive events.
The probability that a customer buys both a mouse and a bird is 35%.
The probability that a customer buys neither a mouse nor a bird is 35%.
- 7. Multiple Choice
A marketing firm tracks data on grocery store visits. In one study, it finds that the probability that a shopper buys bread during a visit to the grocery store is 0.60, and the probability that a shopper buys cheese is 0.30.
Event A = A shopper buys bread.
Event B = A shopper buys cheese.
A and B are independent events if _____.
the probability of buying bread and cheese is 0
the probability of buying bread and cheese is 0.18
the probability of buying bread or cheese is 0.90
the probability of buying bread or cheese is 0.18
- 8. Fill in the Blank
A and B are independent events. P(A) = 0.50 and P(B) = 0.30.
What is P(A and B)?
- 9. Multiple Choice
You flip two coins.
Let event A = The first coin comes up heads.
Let event B = The second coin comes up tails.
What does P(B|A) represent?
The probability that both coins come up heads
The probability that both coins come up tails
The probability that the second coin comes up tails, given that the first coin comes up heads
The probability that the first coin comes up heads, given that the second coin comes up tails
- 10. Fill in the Blank
This Venn diagram shows sports played by 10 students.
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(A|B)?
- 11. Fill in the Blank
At a car and truck dealership, the probability that a vehicle is white is 0.25. The probability that it is a car is 0.39. The probability that it is a white car is 0.09.
What is the probability that a vehicle is white, given that the vehicle is a car? Round your answer to two decimal places.
- 12. Fill in the Blank
A and B are independent events.
P(A) = 0.80
P(B) = 0.70
What is P(A|B)?
- 13. Fill in the Blank
In a concert band, the probability that a member is in the brass section is 0.60. The probability that a member plays trumpet, given that he or she is in the brass section, is 0.45.
What is the probability that a randomly selected band member is in the brass section and plays trumpet?
- 14. Fill in the Blank
This table shows how many sophomores and juniors attended two school events.
What is the probability that a randomly chosen person from this group attended the volleyball game?
Round your answer to two decimal places.
- 15. Fill in the Blank
Find the value of 6!
- 16. Fill in the Blank
You have 7 different trophies to arrange on the top shelf of a bookcase. How many ways are there to arrange the trophies?
- 17. Multiple Choice
There are 4 seniors on student council. Two of them will be chosen to go to an all-district meeting. How many ways are there to choose the students who will go to the meeting?
Decide if this is a permutation or a combination, and then find the number of ways to choose the students who go.
Combination; number of ways = 6
Combination; number of ways = 12
Permutation; number of ways = 6
Permutation; number of ways = 12
- 18. Multiple Choice
At a competition with 8 runners, medals are awarded for first, second, and third places. Each of the 3 medals is different. How many ways are there to award the medals?
Decide if this is a permutation or a combination, and find the number of ways to award the medals.
Combination; number of ways = 336
Combination; number of ways = 35
Permutation; number of ways = 336
Permutation; number of ways = 35
- 19. Fill in the Blank
There are 12 paintings at an art show. Four of them are chosen randomly to display in the gallery window. The order in which they are chosen does not matter. How many ways are there to choose the paintings?
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