7th grade Use random numbers to copy a chance situation worksheet

Use random numbers to copy a chance situation

Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   A player makes 70% of free throws. Ari copies two shots with random digits, one digit per shot. Which plan estimates the chance of making both?

   • 0 to 6 mean made; two digits make a trial; count trials where either digit is 0 to 6
   • 0 to 6 mean made; one digit makes a trial; count trials where the digit is 0 to 6
   • 0 to 6 mean made; two digits make a trial; count trials where both digits are 0 to 6
   • 0 to 7 mean made; two digits make a trial; count trials where both digits are 0 to 7
2. 2.

   On each of two days there is a 30% chance of rain. Bo uses random digits, one digit per day. Which plan estimates the chance it rains on at least one day?

   • 0 to 2 mean rain; three digits make a trial; count trials where any digit is 0 to 2
   • 0 to 2 mean rain; two digits make a trial; count trials where either digit is 0 to 2
   • 0 to 2 mean rain; two digits make a trial; count trials where both digits are 0 to 2
   • 0 to 3 mean rain; two digits make a trial; count trials where either digit is 0 to 3
3. 3.

   A quiz has 3 true-or-false questions, and Esme guesses each. An even digit stands for a correct guess. Which plan estimates the chance of getting all 3 right?

   • Three digits make a trial; count trials where all three digits are 0 to 3
   • Three digits make a trial; count trials where all three digits are even
   • Two digits make a trial; count trials where both digits are even
   • Three digits make a trial; count trials where at least one digit is even
4. 4.

   One cereal box in 5 holds a prize. Jun copies opening boxes until a prize shows, using random digits. Which plan works?

   • 0 and 1 mean a prize; draw digits until a 0 or 1 comes up and count the digits used
   • 0 to 4 mean a prize; draw digits until a digit from 0 to 4 comes up and count the digits used
   • 0 and 1 mean a prize; draw exactly 5 digits each trial and count the prizes
   • 1 means a prize; draw digits until a 1 comes up and count the digits used

5. Read this first

   Use this

   Two digits make one trial, so 06 is the digits 0 and 6. Trials: 38, 91, 57, 22, 64, 76, 40, 85, 13, 69, 50, 97, 06, 78, 35, 82, 49, 63, 70, 15.

6. 5.

   Kira copies two flips of a fair coin, 0 to 4 for heads. From the trials shown, what is the estimated chance of exactly one head, in simplest form?

7. Use this

   Two digits make one trial, so 06 is the digits 0 and 6. Trials: 41, 93, 77, 36, 85, 22, 19, 57, 80, 24, 66, 91, 03, 78, 59, 28, 84, 46, 95, 12.

8. 6.

   A player makes 60% of shots; Luz uses 0 to 5 for a made shot. From the trials shown, what is the estimated chance of making exactly one of two shots, in simplest form?

9. Use this

   Digits 0 to 2 are red. Two digits make one trial, so 06 is the digits 0 and 6. Trials: 74, 18, 53, 90, 25, 68, 31, 87, 46, 02, 79, 64, 95, 10, 58, 83, 27, 71, 49, 66.

10. 7.

    A bag has 3 red and 7 blue marbles. Milo draws at random twice, with the first put back. What is the estimated chance of exactly one red, in simplest form?

11. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 65, 31, 89, 42, 07, 58, 94, 23, 76, 60, 18, 85, 47, 92, 39, 71, 54, 80, 16, 63.

12. 8.

    Each of two days has a 50% chance of rain; Noah uses 0 to 4 for rain. From the trials shown, what is the estimated chance that exactly one day has rain, in simplest form?

13. Use this

    Digits 0 and 1 are part A, 2 and 3 part B, 4 and 5 part C, 6 and 7 part D, 8 and 9 part E. Two digits make one trial, so 06 is the digits 0 and 6. Trials: 04, 67, 31, 58, 92, 10, 77, 41, 25, 80, 66, 02, 38, 51, 99, 70, 14, 86, 43, 27.

14. 9.

    Pia copies two spins of a spinner with 5 equal parts. From the trials shown, what is the estimated chance of landing on the same part twice, in simplest form?

15. Use this

    Digits 1, 2, 3 and 4 are the four parts, and other digits were skipped. Two digits make one trial, so 06 is the digits 0 and 6. Trials: 21, 43, 34, 12, 44, 31, 23, 42, 11, 32, 24, 41, 33, 13, 22, 14, 31, 43, 24, 12.

16. 10.

    Ren copies two spins of a spinner with 4 equal parts, using digits 1 to 4. From the trials shown, what is the estimated chance of the same part twice, in simplest form?