Lesson Worksheet: Theoretical Probability Mathematics • 7th Grade

In this worksheet, we will practice interpreting a data set by finding and evaluating the theoretical probabilities.

Q1:

What it is the probability of rolling a number greater than or equal to 2 on a regular dice?

  • A16
  • B56
  • C23
  • D12

Q2:

A box contains 5 red marbles, 8 green marbles, and 4 yellow marbles. If a marble is picked from the box at random, what is the probability that the marble is red?

  • A1217
  • B417
  • C817
  • D517
  • E1317

Q3:

If this spinner is spun once, what is the probability of getting a vowel? Give your answer as a fraction in its simplest form.

  • A38
  • B58
  • C59
  • D12
  • E14

Q4:

When spinning a fair coin, what is the probability that it lands heads side up?

Q5:

What is the probability of rolling a number between 0 and 2 on a fair die?

  • A16
  • B12
  • C13
  • D0

Q6:

What it is the probability of rolling a number less than or equal to 1 on a regular dice?

  • A0
  • B12
  • C16
  • D1

Q7:

A number is chosen at random from the set {3,4,7,8}. What is the probability that the number is even?

  • A38
  • B14
  • C12
  • D916

Q8:

Two numbers are chosen at random from the set {2,4,5,8} one after the other with replacement. What is the probability that the sum of the two numbers is 13?

  • A217
  • B317
  • C316
  • D18
  • E14

Q9:

A box contains 7 white, 4 black, and 6 red balls. If a ball is taken out of the box, what is the probability of it being black?

  • A717
  • B417
  • C617
  • D1317

Q10:

A bag contains 5 yellow balls, 9 white balls, and 8 red balls. If a ball is chosen at random from the bag, what is the probability that it is white?

  • A511
  • B411
  • C922
  • D522

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