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Which of these tables lists all the possible outcomes of flipping


coins? (Each row represents one outcome.)
Choose all answers that apply:
Choose all answers that apply:
(Choice A) Table A
A
Table A
(Choice B) Table B
B
Table B
Table A:
First Second Third
H T T
H T T
H H T
H H T
T H H
T H H
T T H
T T H
Table B:
First Second Third
H H H
H H T
H T H
H T T
T H H
T H T
T T H
T T T

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1 answer

To determine which tables list all the possible outcomes of flipping three coins, we need to look at the combinations of heads (H) and tails (T) for each coin.

When flipping three coins, the possible outcomes are:

  1. HHH
  2. HHT
  3. HTH
  4. HTT
  5. THH
  6. THT
  7. TTH
  8. TTT

Given this list, let's analyze each table:

Table A:

  • H T T
  • H T T
  • H H T
  • H H T
  • T H H
  • T H H
  • T T H
  • T T H

Table A lists some duplicates and misses some combinations like HTH, HTT, THT, TTH, and TTT.

Table B:

  • H H H
  • H H T
  • H T H
  • H T T
  • T H H
  • T H T
  • T T H
  • T T T

Table B includes all the outcomes without duplicates:

  1. HHH
  2. HHT
  3. HTH
  4. HTT
  5. THH
  6. THT
  7. TTH
  8. TTT

Thus, the correct answer is Table B.

So the answer is:

  • (Choice B) Table B.