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Probability of Compound Events — Easy Worksheet 2
Grade 7 · MathSheets Name: ____________________ Date: __________
Find the probability. Write your answer as a fraction in simplest form.
How to solve
For independent events, P(A and B) = P(A) × P(B). Multiply the numerators and multiply the denominators, then write the answer as a fraction in simplest form.
Example
Event A: probability = 23. Event B: probability = 13. If A and B are independent, find P(A and B).
Answer: 29
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 34 × 13. Multiply the numerators: 3 × 1 = 3. Multiply the denominators: 4 × 3 = 12. That gives 312. Simplify: divide the top and the bottom by 3: 312 = 14. So P(A and B) = 14.
✓ Correct!
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 34 × 13. Multiply the numerators: 3 × 1 = 3. Multiply the denominators: 4 × 3 = 12. That gives 312. Simplify: divide the top and the bottom by 3: 312 = 14. So P(A and B) = 14.
💡 How to solve: Probability of Compound Events
For independent events, P(A and B) = P(A) × P(B). Multiply the numerators and multiply the denominators, then write the answer as a fraction in simplest form.
Try a similar one
Event A: probability = 12. Event B: probability = 13. If A and B are independent, find P(A and B).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 13 × 14. Multiply the numerators: 1 × 1 = 1. Multiply the denominators: 3 × 4 = 12. That gives 112. 112 is already in simplest form. So P(A and B) = 112.
✓ Correct!
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 13 × 14. Multiply the numerators: 1 × 1 = 1. Multiply the denominators: 3 × 4 = 12. That gives 112. 112 is already in simplest form. So P(A and B) = 112.
💡 How to solve: Probability of Compound Events
For independent events, P(A and B) = P(A) × P(B). Multiply the numerators and multiply the denominators, then write the answer as a fraction in simplest form.
Try a similar one
Event A: probability = 14. Event B: probability = 14. If A and B are independent, find P(A and B).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 23 × 14. Multiply the numerators: 2 × 1 = 2. Multiply the denominators: 3 × 4 = 12. That gives 212. Simplify: divide the top and the bottom by 2: 212 = 16. So P(A and B) = 16.
✓ Correct!
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 23 × 14. Multiply the numerators: 2 × 1 = 2. Multiply the denominators: 3 × 4 = 12. That gives 212. Simplify: divide the top and the bottom by 2: 212 = 16. So P(A and B) = 16.
💡 How to solve: Probability of Compound Events
For independent events, P(A and B) = P(A) × P(B). Multiply the numerators and multiply the denominators, then write the answer as a fraction in simplest form.
Try a similar one
Event A: probability = 13. Event B: probability = 12. If A and B are independent, find P(A and B).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 12 × 24. Multiply the numerators: 1 × 2 = 2. Multiply the denominators: 2 × 4 = 8. That gives 28. Simplify: divide the top and the bottom by 2: 28 = 14. So P(A and B) = 14.
✓ Correct!
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 12 × 24. Multiply the numerators: 1 × 2 = 2. Multiply the denominators: 2 × 4 = 8. That gives 28. Simplify: divide the top and the bottom by 2: 28 = 14. So P(A and B) = 14.
💡 How to solve: Probability of Compound Events
For independent events, P(A and B) = P(A) × P(B). Multiply the numerators and multiply the denominators, then write the answer as a fraction in simplest form.
Try a similar one
Event A: probability = 23. Event B: probability = 12. If A and B are independent, find P(A and B).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 14 × 13. Multiply the numerators: 1 × 1 = 1. Multiply the denominators: 4 × 3 = 12. That gives 112. 112 is already in simplest form. So P(A and B) = 112.
✓ Correct!
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 14 × 13. Multiply the numerators: 1 × 1 = 1. Multiply the denominators: 4 × 3 = 12. That gives 112. 112 is already in simplest form. So P(A and B) = 112.
💡 How to solve: Probability of Compound Events
For independent events, P(A and B) = P(A) × P(B). Multiply the numerators and multiply the denominators, then write the answer as a fraction in simplest form.
Try a similar one
Event A: probability = 24. Event B: probability = 13. If A and B are independent, find P(A and B).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 12 × 34. Multiply the numerators: 1 × 3 = 3. Multiply the denominators: 2 × 4 = 8. That gives 38. 38 is already in simplest form. So P(A and B) = 38.
✓ Correct!
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 12 × 34. Multiply the numerators: 1 × 3 = 3. Multiply the denominators: 2 × 4 = 8. That gives 38. 38 is already in simplest form. So P(A and B) = 38.
💡 How to solve: Probability of Compound Events
For independent events, P(A and B) = P(A) × P(B). Multiply the numerators and multiply the denominators, then write the answer as a fraction in simplest form.
Try a similar one
Event A: probability = 13. Event B: probability = 23. If A and B are independent, find P(A and B).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 24 × 24. Multiply the numerators: 2 × 2 = 4. Multiply the denominators: 4 × 4 = 16. That gives 416. Simplify: divide the top and the bottom by 4: 416 = 14. So P(A and B) = 14.
✓ Correct!
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 24 × 24. Multiply the numerators: 2 × 2 = 4. Multiply the denominators: 4 × 4 = 16. That gives 416. Simplify: divide the top and the bottom by 4: 416 = 14. So P(A and B) = 14.
💡 How to solve: Probability of Compound Events
For independent events, P(A and B) = P(A) × P(B). Multiply the numerators and multiply the denominators, then write the answer as a fraction in simplest form.
Try a similar one
Event A: probability = 13. Event B: probability = 24. If A and B are independent, find P(A and B).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 23 × 13. Multiply the numerators: 2 × 1 = 2. Multiply the denominators: 3 × 3 = 9. That gives 29. 29 is already in simplest form. So P(A and B) = 29.
✓ Correct!
Not quite. The answer is
💡 A and B are independent, so multiply their probabilities: 23 × 13. Multiply the numerators: 2 × 1 = 2. Multiply the denominators: 3 × 3 = 9. That gives 29. 29 is already in simplest form. So P(A and B) = 29.
💡 How to solve: Probability of Compound Events
For independent events, P(A and B) = P(A) × P(B). Multiply the numerators and multiply the denominators, then write the answer as a fraction in simplest form.
Try a similar one
Event A: probability = 12. Event B: probability = 23. If A and B are independent, find P(A and B).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Probability of Compound Events — Easy Worksheet 2
Find the probability. Write your answer as a fraction in simplest form.