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Chance from 0 to 1: 7th grade math

Probability as a number from 0 to 1. A free 7th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: probability as a number from 0 to 1.

Teach (10 min)

  • 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.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/chance.prob?lesson=7-chance-prob-1&at=7

Exit ticket (5 min)

  • Three questions on a slip:
  • 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.)
  • 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.)
  • 3. A fair six-sided die is rolled. What is the probability that the die shows a 3? (Any fraction with the right value counts, so you do not have to reduce it.)

Question set

10 questions that read in words, easiest first. Questions that need a picture are on the printable sheet below.

  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.)
  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.)
  3. A fair six-sided die is rolled. What is the probability that the die shows a 3? (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 an even number? (Any fraction with the right value counts, so you do not have to reduce it.)
  5. 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.)
  6. A bag has 4 red and 2 blue counters. One counter is picked at random. What is the probability that the counter is red? (Any fraction with the right value counts, so you do not have to reduce it.)
  7. A bag has 3 white and 3 yellow 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.)
  8. A bag has 4 black and 4 blue 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.)
  9. A fair six-sided die is rolled. What is the probability that the die shows a number greater than 3? (Any fraction with the right value counts, so you do not have to reduce it.)
  10. A bag has 4 blue and 5 green tiles. One tile is picked at random. What is the probability that the tile is blue? (Any fraction with the right value counts, so you do not have to reduce it.)
Answers
  1. 1/2
  2. 5/6
  3. 1/6
  4. 1/2
  5. 1/2
  6. 2/3
  7. 1/2
  8. 1/2
  9. 1/2
  10. 4/9

Printable sheet

Name: ____________________   Date: ____________

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.)
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

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.