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.

   A1, A2 ✓, A3, A4 ✓, B1, B2, B3, B4, C1, C2, C3, C4. Esme spins two spinners with equal parts: A, B, C and 1 to 4. The checked cells show A with an even number. What is the chance of that, in simplest form?

   1/6
6. 6.

   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
7. 7.

   Ren flips a fair coin twice. Which is the whole list of outcomes for the two flips?

   • HH, HT, TT
   • H, T
   • HH, HT, TH, TT
   • HH, TT
8. 8.

   Tala spins two spinners, each with 2 equal parts: red (R) and blue (B). Which is the whole list of outcomes for both spinners?

   • RR, RB, BB
   • RR, BB
   • R, B
   • RR, RB, BR, BB
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
   • H-red, H-blue, H-green, T-red, T-blue, T-green, T-yellow
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, A2, B1, B2, C1, C2
    • A1, B2, C1
    • A1, A2, B1, B2, C1, C2, D1