Sample Space
Outcomes
Marble Probability
General Probability
Conditional & Venn
100
When a button is pressed, a computer program outputs a random even number greater than 0 and less than 10. You press the button once. List the sample space.
Sample Space: 2, 4, 6, 8
100
A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.
Find the number of possible outcomes.
2*4=8
100
A marble is randomly selected from a box containing 5 green, 3 red, and 7 blue marbles.
Determine the probability that the marble is red
3/15=1/5
100
A carton of a dozen eggs contains eight brown eggs. The rest are white. What is the probability that an egg selected at random is white?
4/12=1/3
100
A spinner is divided into 12 equal parts, numbered 1 through 12.
Let A be the event of the spinner landing on an even number, and B be the event of the spinner landing on a number divisible by 3.
What is the probability of A?
What is the probability of B?
A: 6/12=1/2
B: 4/12=1/3
200
A coffee shop offers small, medium, and large sizes. Customers can choose between French roast and Italian roast. List the sample space.
Small - French
Small - Italian
Medium - French
Medium - Italian
Large - French
Large - Italian
200
A spinner can land on either red, blue, green, yellow, purple, or orange. You flip a coin and then spin the spinner.
Find the number of possible outcomes.
6*2=12
200
A marble is randomly selected from a box containing 5 green, 3 red, and 7 blue marbles.
Determine the probability that the marble is green
5/15=1/3
200
Find the probability of getting a numbered card when randomly choosing a card from a full deck of cards.
36/52=9/13
200
A spinner is divided into 12 equal parts, numbered 1 through 12.
Let A be the event of the spinner landing on an even number, and B be the event of the spinner landing on a number divisible by 3.
What is the probability of A ∩ B?
What is the probability of A U B?
A ∩ B =
2/12=1/16
A U B =
8/12=2/3
300
Two rooms in a house can be painted either white or yellow. Represent the sample space with a table, tree diagram, and a list.
300
A football player attempts four passes in overtime. Each pass attempt results in a completion, an incompletion, or a turnover.
Find the number of possible outcomes.
3*3*3*3=81
300
A marble is randomly selected from a box containing 5 green, 3 red, and 7 blue marbles.
Determine the probability that the marble is blue
7/15
300
A card is selected from a standard deck of cards. What is the probability that the card is a club and is a ten?
1/52
300
The Venn diagram shows students’ favorite place to study, the library or home.
60 students were surveyed. Determine the number of students who do not study at home or at the library.
6 Students did not Study at home or the library.
400
An 8 sided die is rolled once. Let A be the event that an odd number appears. Let B be the event that a number less than 5 appears. Represent the sample space using a Venn diagram.
400
A sandwich shop provides its customers
with a number of choices for breads, meats,
and cheeses. Provided one item from each category is selected, how many different sandwiches can be made?
3*4*5=60
400
A marble is randomly selected from a box containing 5 green, 3 red, and 7 blue marbles.
Determine the probability that the marble is not red
12/15=4/5
400
What is the probability of drawing a card from a standard deck of cards and not getting a diamond?
39/52=3/4
400
The Venn diagram shows students’ favorite place to study, the library or home.
What is the probability that a randomly chosen student studies in both places?
6/60=1/10
500
A marble is randomly selected from a box containing 5 green, 3 red, and 7 blue marbles.
Determine the probability that the marble is neither green nor blue
3/15=1/5
500
Brandon purchased 15 raffle tickets. If 300 were sold, what is the probability that one of Brandon’s tickets will not be drawn?
285/300=19/20
500
The Venn diagram shows students’ favorite place to study, the library or home.
What is the probability that a randomly chosen student studies at home, given that they also study at the library.
6/18=1/3