Probability of Compound Events: Grade 7 Math Quiz – PDF Download
Answer these ten multiple-choice questions on compound events. Each has one correct answer. Count outcomes carefully, decide whether the draws are with or without replacement, and check each probability against the full sample space before choosing.
Grade 7Common Core: 7.SP.C.8
🎯 Probability of Compound Events – Grade 7 math quiz
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Question 1
A fair coin is flipped and the spinner is spun. How many outcomes are in the sample space?Five equal sections.
A7
B10
C5
D25
Question 2
A fair coin is flipped three times. What is the probability of exactly one head?Three flips, eight outcomes.
A\(\frac{3}{8}\)
B\(\frac{1}{8}\)
C\(\frac{1}{4}\)
D\(\frac{1}{2}\)
Question 3
Two fair number cubes are rolled. What is the probability that both show the same number?
A\(\frac{1}{36}\)
B\(\frac{1}{12}\)
C\(\frac{1}{6}\)
D\(\frac{1}{3}\)
Question 4
Two fair number cubes are rolled and added. Use the table. What is the probability of a sum of 9?Sums of two number cubes.
A\(\frac{1}{12}\)
B\(\frac{1}{4}\)
C\(\frac{1}{9}\)
D\(\frac{1}{36}\)
Question 5
A bag holds a red, a blue and a green marble. Two marbles are drawn without replacement. What is the probability of red first and then blue?One marble of each color.
A\(\frac{1}{9}\)
B\(\frac{1}{3}\)
C\(\frac{1}{2}\)
D\(\frac{1}{6}\)
Question 6
A store sells shirts in 4 colors and pants in 3 styles. How many different outfits of one shirt and one pair of pants are possible?
A12
B7
C9
D24
Question 7
A spinner has three equal sections: red, green, blue. Which plan correctly simulates two spins?
ARoll a number cube twice; 1 or 2 is red, 3 or 4 is green, 5 or 6 is blue
BRoll a number cube twice; 1 is red, 2 is green, 3 to 6 is blue
CFlip a coin twice; heads is red and tails is green
DRoll a number cube once; 1 to 3 is red and 4 to 6 is blue
Question 8
Two fair coins are flipped. What is the probability of at least one head?
A\(\frac{1}{2}\)
B\(\frac{3}{4}\)
C\(\frac{1}{4}\)
D\(\frac{2}{3}\)
Question 9
Aisha spins the spinner and flips a coin, 240 times. About how many times should she expect heads and a 4?Four equal sections.
A120
B60
C40
D30
Question 10
In a simulation of two free throws, the bars show the number of baskets in each of 20 trials. Based on this simulation, what is the probability of making at least one basket?Results of 20 simulated trials.
A25%
B45%
C30%
D75%
🎉 Quiz complete!
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Remember:
Standard 7.SP.C.8: find probabilities of compound events using lists, tables, tree diagrams and simulation.
A tree diagram shows every outcome as one path: a coin and a spinner with 3 equal sections give \(2\times 3=6\) outcomes.
Two number cubes have \(36\) equally likely outcomes, and \(6\) of them give a sum of \(7\).
Drawing without replacement leaves fewer choices on the second draw than drawing with replacement.
A simulation gives an estimate that gets closer to the true probability as the number of trials grows.
