PLEASE SOLVE AND EXPLAIN

1. Probability is a measure of how likely an event is to occur. Which of the following is the correct probability of an event that is certain and will occur every time?

A.0.0

B.0.3

C.0.5

D.0.7

E.1.0

2. Choose the probability that best matches the following statement: "This event will occur slightly more often than not."

A.0.0

B.0.01

C.0.3

D.0.6

E.0.99

F.1.0

3. Suppose you have played a game many, many timeswinning sometimes and losing sometimes. Can you use the results of playing the game to estimate your overall probability of winning the game?

A.Yes

B.No

This table gives the results from 2000 simulations of tossing a coin four times.

# of heads	0	1	2	3	4
Probability	0.0625	0.25	0.375	0.25	0.0625

4. Using the results in the table, what is the estimated probability of getting exactly three heads?

5. What is the probability of getting at least three heads?

6. What is the probability of getting less than three heads?

Probability is a measure of how likely an event is to occur. Which of the following is the correct probability of an event that is certain and will occur every time?

The probability of an event tells us how likely it is that the event will occur.

True

False

8. Use this information to answer the next two questions. Suppose there are three freshman, one sophomore, and two juniors in a study group. If you randomly select one student, what is the probability of selecting a sophomore?

A.3/6 = 1/2

B.1/6

C.2/6 = 1/3

D.4/6 = 2/3

9.If you randomly select one student, what is the probability of selecting a freshman or sophomore?

A.3/6 = 1/2

B.1/6

C.2/6 = 1/3

D.4/6 = 2/3

10.Three of the following statements about probability are correct. Which statement isincorrect?

A.Probability is a way of quantifying uncertainty.

B.The probability of an event ranges from -1 to 1.

C.The closer the probability of an event is to zero, the less likely the event is to occur.

D.The closer the probability of an event is to one, the more likely the event is to occur.