Probability and Random Variables Quiz

Suppose a die is rolled once. What are the sample spaces for the experiment above?

• 1, 2, 3, 4

• 1, 2, 3, 4, 5

• 1, 2, 3, 4, 5, 6

• 1, 2, 3, 4, 5, 6, 7

Suppose a die is rolled once. How many possible outcomes will occur from the experiment above?

• 4

• 5

• 6

• 7

If a die is rolled, what are the possible values of the random variable for the number shown on top?

• 1, 2, 3, 4

• 1, 2, 3, 4, 5

• 1, 2, 3, 4, 5, 6

• 1, 2, 3, 4, 5, 6, 7

Which of the following is NOT a possible value of the random variable for the sum of the numbers appearing on top of the two dice?

• 2

• 7

• 13

• 10

Which of the following is NOT a possible value of the random variable for the difference between the numbers appearing on top of the two dice?

• 5

• 4

• 3

• 7

Suppose a coin is tossed three times. What are the sample spaces for the experiment above?

• H, T

• HH, HT, TH, TT

• HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

• HHH, HTT, TTH, TTT

Suppose a coin is tossed three times. How many possible outcomes will occur from the experiment above?

• 4

• 6

• 8

• 10

Suppose a coin is tossed three times. What are the possible values of the random variable for the number of heads?

• 0, 1, 2

• 0, 1, 2, 3

• 1, 2, 3

• 0, 1, 2, 3, 4

Suppose a bag contains 3 red balls, 4 blue balls, and 2 green balls. One ball is randomly drawn. What are the sample spaces for the experiment above?

• Red, Blue, Green

• R, B, G, Y

• 1, 2, 3, 4, 5

• Red, Blue, Green, White

Suppose a bag contains 3 red balls, 4 blue balls, and 2 green balls. One ball is randomly drawn. How many possible outcomes will occur from the experiment above?

• 2

• 3

• 4

• 9