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WorksheetsProbability Theory Diagnostic Test
Total questions: 20
Worksheet time: 40mins
While Tim is waiting for class to start, he pulls a quarter from his pocket. How many outcomes are possible if he flips the quarter 3 times?
3
6
12
8
What is the probability of getting an odd number on the first roll and less than 3 on the second roll?
1/6
2/6
3/5
3/6
Based on the chart, what is the experimental probability of pulling a green marble?
1/8
8/25
8/100
7/8
A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?
1/8
1/2
1
3/8
Kevin is making an omelet. There are 7 types of meat and 2 types of cheese to choose from. How many different omelets can Kevin make using exactly one of each item?
7
14
9
24
Alvin rolls a fair 6-sided die.
What is P(roll greater than 6)?
(a)
Let X and Y be the following sets:
P(X) = {5, 10, 15}
P(Y) = {3, 6, 9, 12, 15}
Which of the following is the set X U Y?
{5, 10, 15}
{3, 6, 9, 12, 15}
{}
{3, 5, 6, 9, 10, 12, 15}
Let X and Y be the following sets:
X = {121, 144, 169}
Y = {11, 12, 13, 121, 144, 169}
Which of the following is the set X ∩ Y?
{121, 144,169}
{11, 12, 13, 121, 144, 169}
{}
{11, 12, 13}
Three events occur with probabilities P(E1) = 0.35, P(E2) = 0.15, P(E3) = 0.40. If the event B occurs, the probability becomes P(E1|B) = 0.25, P(B) = 0.30. Calculate P(E1 or B).
0.075
0.575
0.021
0.475
Drake Marketing and Promotions has randomly surveyed 200 men who watch professional sports. The men were separated according to their educational level (college degree or not) and whether they prefer the NBA or the National Football League (NFL). The results of the survey are shown:
What is the probability that a randomly selected participant prefers NFL?
(a)
A bag has 2 black and 3 red marbles. You reach into the bag, select a marble and then replace it. What is P(red, then red)?
9/25
1/9
3/10
1/72
The probability model based on experimental probability for randomly selecting a marble from a bag is P(green) = 4018 , P(blue) = 4014 , and P(white) = 408 . If there are 60 total marbles in the bag, how many would you expect to be white?
(a)
The results of a survey asking 500 people about their favorite ice cream flavor are shown in the table. Find P(strawberry) as a percentage.
(a)
You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game?
$80
$8.75
$10.25
$12.50
Your business is looking into looking into three contracting firms. Based on previous research, there is a 75% chance that company 1 will earn you $40,000. There is a 45% chance that company 2 will earn you $60,000. Company 3 has a 30% chance of earning you $80,000. It costs $20,000 to draw up legal paperwork for each company. How much profit or loss would you expect after this deal is done?
$81,000 profit
$81,000 loss
$21,000 profit
$21,000 loss
Kevin is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 6/17. Find the probability of Kevin receiving a gift.
6/23
17/23
17/6
23/6
