Skip to the main content
PeabodyMake a free story

📊 7th grade math · Data & Chance

Chance from 0 to 1

Probability = number of outcomes you want, over the number of all equally likely outcomes. A bag has 3 red and 5 blue marbles. P(red) = 3/8. Any equal fraction counts, so 6/16 works too.

Worked example

A fair six-sided die is rolled. What is the probability that the die shows a number less than 6? (Any fraction with the right value counts, so you do not have to reduce it.)
Answer: 5/6
Count the outcomes that fit: 1, 2, 3, 4, 5. That is 5 of the 6 equally likely outcomes, so the probability is 56. Answer: 5/6.

For grown-ups: Probability as a number from 0 to 1. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 7.SP.C.5
What this practises, for teachers

Practices probability as a number from 0 to 1 (7.SP.C.5). A printable sheet with its answer key, worked answers on the page, no accounts.

▶ Practise it

For your class

🖨️ Printable sheet and key

Try three

  1. A fair six-sided die is rolled. What is the probability that the die shows an odd number? (Any fraction with the right value counts, so you do not have to reduce it.)
    Show the answer and how
    Answer: 1/2
    Count the outcomes that fit: 1, 3, 5. That is 3 of the 6 equally likely outcomes, so the probability is 36 = 12. Answer: 1/2.
  2. A fair six-sided die is rolled. What is the probability that the die shows a number less than 6? (Any fraction with the right value counts, so you do not have to reduce it.)
    Show the answer and how
    Answer: 5/6
    Count the outcomes that fit: 1, 2, 3, 4, 5. That is 5 of the 6 equally likely outcomes, so the probability is 56. Answer: 5/6.
  3. A letter is picked at random from the tiles that spell RANDOM, one letter on each tile. What is the probability that the letter is a vowel? (Any fraction with the right value counts, so you do not have to reduce it.)
    Show the answer and how
    Answer: 1/3
    Count the outcomes that fit: A, O. That is 2 of the 6 equally likely outcomes, so the probability is 26 = 13. Answer: 1/3.

Before and after

Learn first: Compare any two fractions (4th), Compare decimals (4th)

Comes next: Try it and predict (7th)

Name: ____________________Date: ____________Score: ____ / 12

Chance from 0 to 1 (7th grade)

  1. A spinner has 5 equal sections: 2 white and 3 blue. It is spun once. What is the probability that the spinner lands on blue? (Any fraction with the right value counts, so you do not have to reduce it.)
  2. A spinner has 5 equal sections: 2 black and 3 purple. It is spun once. What is the probability that the spinner lands on black? (Any fraction with the right value counts, so you do not have to reduce it.)
  3. A fair six-sided die is rolled. What is the probability that the die shows an odd number? (Any fraction with the right value counts, so you do not have to reduce it.)
  4. A fair six-sided die is rolled. What is the probability that the die shows a 1? (Any fraction with the right value counts, so you do not have to reduce it.)
  5. A bag has 3 green and 4 red balls. One ball is picked at random. What is the probability that the ball is red? (Any fraction with the right value counts, so you do not have to reduce it.)
  6. A bag has 5 yellow and 4 white balls. One ball is picked at random. What is the probability that the ball is white? (Any fraction with the right value counts, so you do not have to reduce it.)
  7. A bag has 1 white and 6 black cubes. One cube is picked at random. What is the probability that the cube is black? (Any fraction with the right value counts, so you do not have to reduce it.)
  8. A letter is picked at random from the tiles that spell SAMPLE, one letter on each tile. What is the probability that the letter is a vowel? (Any fraction with the right value counts, so you do not have to reduce it.)
  9. A card is picked at random from 12 cards numbered 1 to 12, one number on each card. What is the probability that the card is a prime number? (Any fraction with the right value counts, so you do not have to reduce it.)
  10. A bag has 1 black, 8 purple and 4 white counters. One counter is picked at random. What is the probability that the counter is purple? (Any fraction with the right value counts, so you do not have to reduce it.)
  11. A fair 10-sided die, numbered 1 to 10, is rolled. What is the probability that the die shows a number greater than 8? (Any fraction with the right value counts, so you do not have to reduce it.)
  12. A bag has 7 white, 4 blue and 3 purple marbles. One marble is picked at random. What is the probability that the marble is white? (Any fraction with the right value counts, so you do not have to reduce it.)

Answer key

  1. 3/5
  2. 2/5
  3. 1/2
  4. 1/6
  5. 4/7
  6. 4/9
  7. 6/7
  8. 1/3
  9. 5/12
  10. 8/13
  11. 1/5
  12. 1/2

More 7th grade skills: all 7th grade math skills, or every grade at math skills.