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An experiment consists of tossing three unbiased coins simultaneously. Drawing a probability tree for this experiment will show that the number of events in this experiment is:Group of answer choicesA. 3.B. 6.C. 9.D. None of these choices are correct.

Question

An experiment consists of tossing three unbiased coins simultaneously. Drawing a probability tree for this experiment will show that the number of events in this experiment is:Group of answer choicesA. 3.B. 6.C. 9.D. None of these choices are correct.

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Solution 1

The correct answer is D. None of these choices are correct.

Here's why:

When you toss three unbiased coins simultaneously, each coin has two possible outcomes: heads (H) or tails (T).

For three coins, the possible outcomes are:

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

So, there are 8 possible outcomes (or events) in this experiment, not 3, 6, or 9. Therefore, none of the provided choices are correct.

This problem has been solved

Solution 2

The correct answer is D. None of these choices are correct.

Here's why:

When you toss three unbiased coins simultaneously, each coin has two possible outcomes: heads (H) or tails (T).

For three coins, the possible outcomes are:

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

So, there are 8 possible outcomes (or events) in this experiment, not 3, 6, or 9. Therefore, none of the provided choices are correct.

This problem has been solved

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