Sample Space Diagrams for Combined Events (Year 7)
Free printable UK Year 7 (Key Stage 3) maths worksheet: build the sample space for 2 combined events (spinners or dice) and find theoretical probabilities from it.
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Grade 6 · Math worksheet
Name
Date
Math
Sample Space Diagrams for Combined Events
Work out the total number of outcomes in the sample space for 2 combined events, and use it to find each probability.
- 1.Spinner A has 8 equal sections, numbered 1 to 8. Spinner B has 5 equal sections, numbered 1 to 5. Both are spun once. How many equally likely outcomes are in the sample space, and what is P(spinner A lands on 4 AND spinner B lands on 5)?
- 2.Spinner A has 6 equal sections, numbered 1 to 6. Spinner B has 2 equal sections, numbered 1 to 2. Both are spun once. How many equally likely outcomes are in the sample space, and what is P(spinner A lands on 6 AND spinner B lands on 2)?
- 3.Spinner A has 5 equal sections, numbered 1 to 5. Spinner B has 2 equal sections, numbered 1 to 2. Both are spun once. How many equally likely outcomes are in the sample space, and what is P(spinner A lands on 1 AND spinner B lands on 1)?
- 4.Spinner A has 2 equal sections, numbered 1 to 2. Spinner B has 3 equal sections, numbered 1 to 3. Both are spun once. How many equally likely outcomes are in the sample space, and what is P(spinner A lands on 2 AND spinner B lands on 2)?
- 5.Spinner A has 3 equal sections, numbered 1 to 3. Spinner B has 3 equal sections, numbered 1 to 3. Both are spun once. How many equally likely outcomes are in the sample space, and what is P(spinner A lands on 3 AND spinner B lands on 3)?
- 6.Two fair 6-sided dice are rolled and their scores are added together. Find P(the total is 12), giving your answer as a fraction in its simplest form.
- 7.Two fair 6-sided dice are rolled and their scores are added together. Find P(the total is 11), giving your answer as a fraction in its simplest form.
- 8.Two fair 6-sided dice are rolled and their scores are added together. Find P(the total is 10), giving your answer as a fraction in its simplest form.
- 9.Two fair 6-sided dice are rolled and their scores are added together. Find P(the total is 4), giving your answer as a fraction in its simplest form.
- 10.Two fair 6-sided dice are rolled and their scores are added together. Find P(the total is 7), giving your answer as a fraction in its simplest form.
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