ALGEBRA 2 Questions, All multiple choice except for number 5.

1. There are two spinners. The first spinner has three equal sectors labeled 1, 2 and 3. The second spinner has four equal sectors labeled 3, 4, 5 and 6. The spinners are spun once.

What is the number of possible outcomes that donotshow a 1 on the first spinner and show the number 4 on the second spinner?

• 2
• 6
• 9
• 12

2.Which events are independent?

Selecteachcorrect answer.

• One ball is drawn from a bag of balls after another ball is drawn without replacement.
• Two number cubes are rolled at the same time.
• White marbles are drawn from a bag of marbles without replacing the marbles.
• A spinner is spun and a coin is flipped.

3.Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper.

What is the probability of selecting an even number then a number greater than 7?

• 8/45

• 3/25

• 1/6

• 2/15

4. A spinner has 8 equal sectors labeled from 1 to 8. The spinner is spun twice.

What is the probability of getting an even number on the first spin and another even number on the second spin?

• 3/16

• 7/8

• 5/16

• 1/4

5. AandBare two events.

Given thatP(A)=0.2

,P(B)=0.3

andP(AandB)=0.06

Fill the blank

EventsAandBare_____because_______.

6.A group of people were asked if they enjoy going to concerts or movies.

The table shows the probabilities of the results.

Enjoy concerts Do not enjoy concerts Total

Enjoy movies 0.25 0.35 0.6

Do not enjoy movies 0.3 0.1 0.4

Total 0.55 0.45 1

Which Statement is true ?

• Enjoying movies and concerts are not independent becauseP(movies|concerts)=P(movies)

• Enjoying movies and concerts are independent becauseP(movies|concerts)=P(movies)

• Enjoying movies and concerts are independent sinceP(movies|concerts)P(movies)and P(concerts|movies)P(concerts)

• Enjoying movies and concerts are not independent sinceP(movies|concerts)P(movies)and P(concerts|movies)P(concerts)

7.Which statement best explains conditional probability and independence?

• When two separate events,AandB, are independent, the probability of either event occurring is the same. Therefore,P(A)=P(B)andP(A|B)=P(A).
• When two separate events,AandB, are independent,P(A|B)=P(B). This means that the probability that eventAoccurred first has no effect on the probability of eventBoccurring next.
• When two separate events,AandB, are independent,P(A|B)=P(A). This means that the probability that eventBoccurred first has no effect on the probability of eventAoccurring next.
• When two separate events,AandB, are independent, the probability of either event occurring is the same. Therefore,P(A)=P(B) andP(A|B)=P(B)

8.The probability of drawing two white cards without replacement is14/95,and the probability of drawing one white card is 2/5

.What is the probability of drawing a second white card, given that the first card is white?

• 7/19

• 7/38

• 52/95

• 28/475

9.John has a spinner with eight equal sectors with labels from 1 to 8. He spins the spinner once.

What is the probability that he gets a number less than 4 or a multiple of 4?

• 5/8

• 3/4

• 1/2

• 3/32

10.A spinner has ten equal sectors labeled from 1 to 10. The spinner is spun once.

What is the probability of getting an odd number and a number greater than 4?

• 7/10

• 4/5

• 3/10

• 1/2