Probability and Probability Models: Grade 7 Math Test – PDF Download

Question 1: Likelihood (2 points)

A bag holds 10 marbles, and all of them are red. One marble is picked at random. (a) Find the probability that it is blue and describe the likelihood in words. (1 point) (b) Find the probability that it is red and describe the likelihood in words. (1 point)

Question 2: Spinner probabilities (3 points)

Jamal spins the spinner once. All 6 sectors are equal.

1. Find the probability of green. (1 point)
2. Find the probability of red. (1 point)
3. Find the probability of not blue. (1 point)

Question 3: Spinner experiment (3 points)

Sofia spun a different color spinner 40 times .

1. Find the experimental probability of green. (1 point)
2. Find the experimental probability of red. (1 point)
3. Predict how many times blue will come up in 200 spins. (1 point)

Question 4: Fair cube (2 points)

A fair number cube has faces 1 to 6. (a) Find the probability of rolling a number greater than 4. (1 point) (b) Find the probability of rolling an odd number. (1 point)

Question 5: Missing probability (3 points)

A game spinner has four outcomes with this probability model.

1. Find the missing probability for D. (1 point)
2. Find the probability of C or D. (1 point)
3. Predict how many times B will occur in 200 spins. (1 point)

Question 6: Fair or not (3 points)

Priya rolled a number cube 30 times .

1. How many times should each face appear if the cube is fair? (1 point)
2. Which faces differ the most from that number, and by how much? (1 point)
3. Is it reasonable to think the cube is fair? Explain. (1 point)

Question 7: Tossing a cup (2 points)

Noah tossed a paper cup 80 times . It landed open end up 12 times , open end down 36 times , and on its side 32 times . (a) Write a probability model as decimals. (1 point) (b) Predict how many times the cup lands on its side in 300 tosses. (1 point)

Question 8: Bus schedule (2 points)

The probability that Mei’s school bus is late on a given day is \(\frac{3}{20}\). (a) Find the probability that the bus is on time. (1 point) (b) About how many late days should she expect in 40 school days? (1 point)

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