Probability of Compound Events: Grade 7 Math Test – PDF Download

Question 1: Pizza orders (2 points)

A pizza shop offers a thin crust or a thick crust with one topping: pepperoni, mushroom or olives.

1. Write an organized list of all possible pizzas. (1 point)
2. One pizza is chosen at random. Find the probability that it has mushroom. (1 point)

Question 2: Coin and number cube (2 points)

Maya flips a coin and rolls a number cube numbered 1 to 6.

1. How many outcomes are in the sample space? (1 point)
2. Find the probability of tails and a prime number. (1 point)

Question 3: Table of sums (2 points)

Two fair four-sided cubes, each numbered 1 to 4, are rolled and the numbers are added.

1. Complete the table of sums. (1 point)
2. Find the probability that the sum is greater than 5. (1 point)

Question 4: Draw without replacement (2 points)

A bag holds two red marbles (R1 and R2) and one blue marble (B). Sofia draws two marbles without putting the first back.

1. List the sample space. (1 point)
2. Find the probability that exactly one marble is red. (1 point)

Question 5: Sums of two number cubes (3 points)

The table shows every sum when two fair number cubes are rolled.

1. Find the probability of a sum of 8. (1 point)
2. Find the probability of a sum less than 5. (1 point)
3. Find the probability that the sum is a multiple of 5. (1 point)

Question 6: Predict from probability (2 points)

In a game, Ethan spins the spinner and flips a coin.

1. Find the probability of heads and a 3. (1 point)
2. Ethan plays 120 times . Predict how many times he gets heads and a 3. (1 point)

Question 7: Simulate three children (3 points)

Mei wants to estimate the probability that a family with three children has three girls. She reads random digits and lets an even digit stand for a girl and an odd digit for a boy. Each group of three digits is one trial.

1. Explain why even and odd digits are a fair model for one child. (1 point)
2. Use the twelve trials to estimate the probability of three girls. (1 point)
3. List the sample space for three children (G or B each) and find the theoretical probability of three girls. (1 point)

Question 8: Lunch tree diagram (2 points)

Jamal picks a sandwich and a side at random. The tree diagram shows the choices.

1. Find the probability that the side is soup. (1 point)
2. Find the probability of a veggie sandwich with an apple. (1 point)

Question 9: Design a simulation (2 points)

A baseball player gets a hit in about one-third of his at-bats. Describe a simulation with a number cube to estimate the probability of at least one hit in two at-bats. Tell what each number means, what one trial is and what to count.

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