Grade 7 — Write each probability as a fraction in lowest terms and a percent. For two-step problems, multiply the fractions. Show your work.
1. Maya landed 7 of her last 10 trick attempts. Based on this, what is the probability she lands her next attempt? Give a fraction and a percent.
2. A prize bag holds 5 red yo-yos and 3 blue yo-yos. If you pick one without looking, what is the probability it is red? Give a fraction and a percent.
3. Using the same bag as #2, what is the probability of picking a blue yo-yo? Give a fraction and a percent.
4. The probability Jayden lands trick A is 1/2 and the probability he lands trick B is 1/3. The attempts are independent. What is the probability he lands both? Give a fraction.
5. The probability of landing a Sleeper is 3/4 and of landing a Forward Pass is 2/5. What is the probability of landing both in a row? Simplify and give a percent.
6. Which is more likely: landing a trick with probability 1/6, or one with probability 1/3? Explain.
7. A spinner has 8 equal sections, and 2 of them say "trick bonus." What is the probability of spinning the bonus? Give a fraction in lowest terms and a percent.
8. Roll a fair six-sided die. What is the probability of rolling a number greater than 4? Give a fraction in lowest terms.
| 1. 7/10 = 70% | 2. 5/8 = 62.5% (5 of 8 total) |
| 3. 3/8 = 37.5% | 4. 1/6 (1/2 × 1/3 = 1/6) |
| 5. 3/10 = 30% (3/4 × 2/5 = 6/20 = 3/10) | 6. 1/3 is more likely (1/3 > 1/6) |
| 7. 1/4 = 25% (2/8 = 1/4) | 8. 1/3 ({5,6} = 2 of 6; 2/6 = 1/3) |