WorksheetsProbability and Random Variables Quiz
Total questions: 20
Worksheet time: 10mins
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
Suppose a bag contains 3 red balls, 4 blue balls, and 2 green balls. One ball is randomly drawn. What are the possible values of the random variable for the number of red balls drawn?
0, 1
0, 1, 2
0, 1, 2, 3
1, 2, 3, 4
Suppose Lisa conducts a survey of families with three children. She is interested in counting the number of girls in each family. If the experiment above represents a random variable, what are the possible values of it?
Its value can be 1 or 2.
Its value can be 0, 1, 2, or 3.
Its value can be 2 or 4.
None, since it is not a random variable.
Suppose Lisa conducts a survey of families with three children. She is interested in counting the number of girls in each family. If Lisa records the number of boys in each family instead, what are the possible values of her random variable?
0, 1, 2, 3
1, 2, 3
1, 2, 3, 4
0, 1, 2, 3, 4
Lisa wants to compare her results with a friend who surveyed families with four children. How many possible values of the random variable (number of girls) exist in the new survey?
0, 1, 2, 3, 4
1, 2, 3, 4
0, 1, 2, 3
1, 2, 3, 4, 5
If a fair coin is tossed 4 times, what is the probability of getting exactly 2 heads?
3/8
1/4
6/16
5/16
A spinner has four equal sections numbered 1 to 4. If the spinner is spun once, what is the probability of getting an odd number?
1/2
1/4
3/4
1
A wheel of fortune has eight equal sections labeled A, B, C, D, E, F, G, and H. If the wheel is spun once, what is the probability that it lands on a vowel?
1/4
3/8
1/2
5/8
A die is rolled once. What is the probability that the outcome is either an odd number or a multiple of 3?
2/3
1/2
5/6
1/3
A deck of 52 playing cards is shuffled. What is the probability of drawing a red card?
1/4
1/2
3/4
2/3
Suppose a die is rolled twice. What is the maximum possible sum of the numbers shown on top?
7
12
11
10
