Question

1. Choose the two conditions that verify a table of relative frequencies is a probability model.

Select one or more:

a. The sum of the probabilities for all of the possible outcomes is less than 1.

b. The sum of the probabilities for all of the possible outcomes equals 1 (or 100%).

c. There is at least one zero probability for an event.

d. All of the probabilities for the possible outcomes are at least zero and no larger than 1.

2.

Look at the Table below for the probability events of pulling colored marbles from a bag.  What do we call the event “orange”?

Color	Probability
Blue	0.32
Red	0.23
Orange	0
Green	0.17
Purple	0.28

Select one:

a. Nothing

b. Certain.

c. Unusual.

d. Impossible.

3.

You have a coin and 4 marbles each a different color: Red, Blue, Green and Yellow. Consider the experiment of flipping a coin and pulling 1 marble from a bag and recording that combination as one outcome. What would be the sample space? Are all outcomes equally likely? Choose the correct answer below.

Use H, T for heads and the first letter for each color: Red, Blue, Green and Yellow.

Select one:

a. S = { HR, HB, HG, HY, TR, TB, TG, TY }. Yes these are all equally likely outcomes.

b. S = { H, T, R, B, G, Y }. Yes these are all equally likely outcomes.

c. S = { H, T, R, B, G, Y }. No these are NOT equally likely outcomes.

d. S = { HR, HB, HG, HY, TR, TB, TG, TY }. No these are NOT equally likely outcomes.

4.

Use the Sample Space from problem #3 and find P(G) = Answer.

Enter your answer as a decimal rounded to 3 decimal places if necessary.

5.

Use the Sample Space from problem #3 and find P(T) = Answer.

Enter your answer as a decimal rounded to 3 decimal places if necessary.

6.

Use the Sample Space from problem #3 and find P(T or G) = Answer.

Enter your answer as a decimal rounded to 3 decimal places if necessary.

Answer 1

Que.1

The sum of the probabilities for all of the possible outcomes equals 1 (or 100%).

All of the probabilities for the possible outcomes are at least zero and no larger than 1.

Que.2

Impossible event.

Que.3

S = { HR, HB, HG, HY, TR, TB, TG, TY }. Yes these are all equally likely outcomes.

Que.4

G = {HG, TG}

Thus,

Que.5

T = { TR, TB, TG, TY }

Que.6

By addition theorem,