All the outcomes of a repeated experiment, and the chance of a compound event

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. Read this first

   A tree

   2 branches (H, T) for the first flip, each splitting into 2 for the second flip, each splitting into 2 again for the third.

2. 1.

   Ari flips a fair coin 3 times. The tree splits in 2 at every flip. How many outcomes are in the whole list?

   8
3. 2.

   Esme rolls a fair number cube 2 times. How many outcomes are in the whole list?

   36
4. 3.

   Jun spins a spinner with 2 equal parts, red (R) and blue (B), 3 times. Which is the whole outcome list?

   • RRR, RRB, RBR, RBB, BRR, BRB, BBR, BBB
   • RRR, RRB, RBB, BBB, with one row per count of R
   • R, B, listing just one spin of the spinner
   • RR, RB, BR, BB
5. 4.

   Luz spins a spinner with 3 equal parts, A, B and C, 2 times. Which is the whole outcome list?

   • A, B, C
   • AA, AB, AC, BB, BC, CC
   • AB, AC, BC
   • AA, AB, AC, BA, BB, BC, CA, CB, CC
6. 5.

   Milo spins a spinner with 4 equal parts (red, blue, yellow, green) 2 times. What is the chance both spins land on blue, as a fraction in simplest form?

   1/16
7. 6.

   Noah flips a fair coin 3 times. What is the chance of tails all 3 times, as a fraction in simplest form?

   1/8
8. 7.

   Pia rolls a fair number cube 2 times. What is the chance of a 6 both times, as a fraction in simplest form?

   1/36
9. 8.

   Ren spins a spinner with 4 equal parts (red, blue, yellow, green) twice, and does this 160 times. The chance of two blues is 1/16. About how many times are both blue?

   10
10. 9.

    Tala flips a fair coin twice, and does this 200 times. The chance of two heads is 1/4. About how many times are both flips heads?

    50
11. 10.

    Zee rolls a fair number cube twice, and does this 120 times. The chance both rolls are even is 1/4. About how many times are both even?

    30