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Fair and unfair chances: 7th grade math

Uniform and non-uniform probability models. 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: uniform and non-uniform probability models.

Teach (10 min)

  • When choices go together, multiply the number of options for each one.
  • A coin and a 6-sided die: 2 × 6 = 12 outcomes. Three coin flips: 2 × 2 × 2 = 8.
  • 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.outcomes?lesson=7-chance-outcomes-1&at=7

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. A fair coin is flipped 3 times. How many outcomes are in the sample space?
  • 2. A fair 10-sided die is rolled. How many outcomes are in the sample space?
  • 3. A fair coin is flipped 2 times. How many outcomes are in the sample space?

Question set

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

  1. A fair coin is flipped 3 times. How many outcomes are in the sample space?
  2. A fair 10-sided die is rolled. How many outcomes are in the sample space?
  3. A fair coin is flipped 2 times. How many outcomes are in the sample space?
  4. A fair 10-sided die is rolled. How many outcomes are in the sample space?
  5. A fair coin is flipped and a fair six-sided die is rolled. How many outcomes are in the sample space?
  6. A fair coin is flipped and a fair six-sided die is rolled. How many outcomes are in the sample space?
  7. A fair coin is flipped 2 times. How many outcomes are in the sample space?
  8. A fair coin is flipped 3 times. How many outcomes are in the sample space?
  9. A student has 5 shirts and 3 pairs of pants. An outfit is a shirt and a pair of pants. How many different outfits are possible?
  10. A spinner has 3 equal sections and a fair six-sided die has 6 faces. The spinner is spun and the die is rolled. How many outcomes are in the sample space?
Answers
  1. 8
  2. 10
  3. 4
  4. 10
  5. 12
  6. 12
  7. 4
  8. 8
  9. 15
  10. 18

Printable sheet

Name: ____________________   Date: ____________

Fair and unfair chances (7th grade)

  1. A fair 10-sided die is rolled. How many outcomes are in the sample space?
  2. A fair coin is flipped and a fair six-sided die is rolled. How many outcomes are in the sample space?
  3. A fair coin is flipped and a fair six-sided die is rolled. How many outcomes are in the sample space?
  4. A fair coin is flipped and a fair six-sided die is rolled. How many outcomes are in the sample space?
  5. A fair coin is flipped 3 times. How many outcomes are in the sample space?
  6. A fair coin is flipped and a fair 10-sided die is rolled. How many outcomes are in the sample space?
  7. A fair coin is flipped and a fair 8-sided die is rolled. How many outcomes are in the sample space?
  8. A fair coin is flipped 4 times. How many outcomes are in the sample space?
  9. A student has 2 shirts and 2 pairs of pants. An outfit is a shirt and a pair of pants. How many different outfits are possible?
  10. A fair coin is flipped and a fair 10-sided die is rolled. How many outcomes are in the sample space?
  11. A fair coin is flipped 4 times. How many outcomes are in the sample space?
  12. A spinner has 7 equal sections and a fair six-sided die has 6 faces. The spinner is spun and the die is rolled. How many outcomes are in the sample space?
Key
  1. 10
  2. 12
  3. 12
  4. 12
  5. 8
  6. 20
  7. 16
  8. 16
  9. 4
  10. 20
  11. 16
  12. 42

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.