Two-step chance: lists, tables and trees

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

1. 1.

   Ren's first spinner has 3 equal parts and the second has 2 equal parts. How many outcomes are in the list for both spinners?

   6
2. 2.

   Tala flips a fair coin and rolls a fair number cube (a busy afternoon). How many outcomes are in the list for both?

   12
3. 3.

   Zee picks one of 4 shirts and one of 5 hats for picture day, and every pair is allowed. How many different outfits are possible?

   20
4. 4.

   Ari flips a fair coin and spins a spinner with 5 equal parts. How many outcomes are in the list for both?

   10
5. 5.

   H1, H2 ✓, H3, H4 ✓, T1, T2, T3, T4. Bo flips a fair coin and spins a spinner with 4 equal parts numbered 1 to 4. The checked cells show heads with an even number. What is the chance of that, in simplest form?

   1/4
6. 6.

   HH ✓, HT ✓, TH ✓, TT. Jun flips a fair coin twice (the coin does not mind). The checked cells show at least one head. What is the chance of that, in simplest form?

   3/4
7. 7.

   Luz flips a fair coin and spins a spinner with 3 equal parts. The checked branch shows tails and red. What is the chance of that, in simplest form?

   1/6
8. 8.

   Noah flips a fair coin three times. The checked branches show exactly one head. What is the chance of that, in simplest form?

   3/8
9. 9.

   Zee flips a fair coin and spins a spinner with 3 equal parts: red, blue, green. Which is the whole list of outcomes for both?

   • H, T, red, blue, green
   • H-red, H-blue, H-green, T-red, T-blue, T-green
   • H-red, H-blue, H-green, T-red, T-blue, T-green, T-yellow
   • H-red, H-blue, H-green
10. 10.

    Ari spins a spinner with 3 equal parts (A, B, C), then one with 2 equal parts (1, 2). Which is the whole list of outcomes for both?

    • A, B, C, 1, 2
    • A1, B2, C1
    • A1, A2, B1, B2, C1, C2
    • A1, A2, B1, B2, C1, C2, D1