Two-step chance: lists, tables and trees

Grade 7 Math Worksheet - Challenge Me

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

  1. Tala flips a fair coin three times. What is the chance of at least one head, in simplest form?

  2. Ari spins two spinners, each with 4 equal parts numbered 1 to 4. What is the chance of at least one 4, in simplest form?

  3. Bo flips a fair coin four times (a tired thumb is expected). What is the chance of at least one tail, in simplest form?

  4. A bag holds 5 different buttons. Jun draws one, keeps it out, then draws a second. How many outcomes are in the list of the two draws, with order counting?

  5. A bag holds 2 red buttons and 2 blue buttons. Luz draws one without looking, keeps it out, then draws a second. What is the chance both are red, in simplest form?

  6. A bag holds 3 red buttons and 2 blue buttons. Milo draws one without looking, keeps it out, then draws a second. What is the chance both are red, in simplest form?

  7. Pia flips a fair coin twice and then spins a spinner with 3 equal parts. How many outcomes are in the list for all three steps?

  8. Ren rolls a fair number cube and then flips a fair coin twice. How many outcomes are in the list for all three steps?

  9. Tala picks one of 5 shirts, one of 2 hats and one of 3 scarves. How many different outfits are possible?

  10. Bo spins two spinners, each with 5 equal parts numbered 1 to 5. What is the chance that the sum is 9, as a percent?

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Two-step chance: lists, tables and trees

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

  1. Tala flips a fair coin three times. What is the chance of at least one head, in simplest form?

    7/8
  2. Ari spins two spinners, each with 4 equal parts numbered 1 to 4. What is the chance of at least one 4, in simplest form?

    7/16
  3. Bo flips a fair coin four times (a tired thumb is expected). What is the chance of at least one tail, in simplest form?

    15/16
  4. A bag holds 5 different buttons. Jun draws one, keeps it out, then draws a second. How many outcomes are in the list of the two draws, with order counting?

    20
  5. A bag holds 2 red buttons and 2 blue buttons. Luz draws one without looking, keeps it out, then draws a second. What is the chance both are red, in simplest form?

    1/6
  6. A bag holds 3 red buttons and 2 blue buttons. Milo draws one without looking, keeps it out, then draws a second. What is the chance both are red, in simplest form?

    3/10
  7. Pia flips a fair coin twice and then spins a spinner with 3 equal parts. How many outcomes are in the list for all three steps?

    12
  8. Ren rolls a fair number cube and then flips a fair coin twice. How many outcomes are in the list for all three steps?

    24
  9. Tala picks one of 5 shirts, one of 2 hats and one of 3 scarves. How many different outfits are possible?

    30
  10. Bo spins two spinners, each with 5 equal parts numbered 1 to 5. What is the chance that the sum is 9, as a percent?

    8