Math Grade 7 Probability

John knows that he should roll a 5 on a number cube one out of six times. When he actually rolled the number cube 6 times, he rolled a 5 three times. Which explanation describes this reasoning?

• Theoretical probability is 1/6; experimental probability was 1/6

• Theoretical probability is 1/6; experimental probability was 1/3

• Theoretical probability is 1/6; experimental probability was 1/2

• Theoretical probability is 1/6; experimental probability was 5/6

Boris has a coin and a number cube. The number cube is labeled 1 through 6. He flips the coin once and rolls the number cube once. What is the probability that the coin lands tails-up and the cube lands on an even number?

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Deborah surveyed customers in a restaurant to find out their favorite meal. The results of the survey are shown in the table. One person in the restaurant will be picked at random. Based on the given information, which statement is true?

• This person’s favorite meal is less likely to be hamburger and French fries as it is to be spaghetti.

• This person’s favorite meal is four times as likely to be chili as it is to be vegetarian delight.

• This person’s favorite meal is more likely to be chili than hamburger and French fries.

• This person’s favorite meal is equally likely to be either vegetarian delight or spaghetti.

The student council conducted a survey to determine what drinks and how many of each type of drink they should purchase to stock their concession stand. The table above shows the results of their survey. If the student council will purchase a total of 600 drinks, how many of these drinks should be lemonade based on the results of the survey?

• 336

• 56

• 150

• 280

Katrina will roll a fair number cube 57 times during one of her math stations. The sides of the cube are numbered 1 to 6. How many times could Katrina predict rolling a 2 or a 6?

• 2 times

• 6 times

• 19 times

• 29 times

In the Science Lab, Mrs. Campbell’s class experimented with rolling a number cube. The number cube is labeled 1 through 6. They rolled the number cube 20 times. The data is shown in the table above. What was the experimental probability of rolling a 6 on the number cube?

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A board game uses the spinner above. What is the probability that a player will not move an odd number of spaces on their first spin?

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Bailey will roll a number cube and flip a coin for a probability experiment. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. If Bailey rolls the number cube once and flips the coin once, which list contains only the outcomes in which the number cube lands on a number less than 4.

• 1, Heads

  1, Tails

  2, Heads

  2, Tails

  3, Heads

  3, Tails

  4, Heads

  4, Tails

• 5, Heads

  5, Tails

  6, Heads

  6, Tails

• 1, Heads

  1, Tails

  2, Heads

  2, Tails

  3, Heads

  3, Tails

• 4, Heads

  4, Tails

  5, Heads

  5, Tails

  6, Heads

  6, Tails

Leticia has two bouquets of flowers. Each bouquet contains 13 daisies.

*Bouquet S contains 30 flowers.

*Bouquet T contains 13 flowers.

Which statement is true?

• The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from Bouquet T.

• The probability of randomly selecting a daisy from Bouquet S is 1.

• The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T.

• The probability of randomly selecting a daisy from Bouquet S is 1/3.

Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag.

What is the probability that Tara will select a blue marble from each bag?

• 5/9

• 1/135

• 1/6

• 2/27