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.
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:
- HHH
- HHT
- HTH
- HTT
- THH
- THT
- TTH
- 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.
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:
- HHH
- HHT
- HTH
- HTT
- THH
- THT
- TTH
- 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.
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