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Sagot :
To determine the experimental probability [tex]\( P \)[/tex] of getting the outcome "heads, tails" when flipping a fair coin twice, we need to follow these steps:
1. Identify the frequency of the desired outcome:
- The table shows that the frequency for the outcome "heads, tails" is 73.
2. Determine the total number of trials:
- The coin was flipped twice for a total of 240 trials as mentioned.
3. Calculate the probability:
- Probability is defined as the number of times the desired outcome occurs divided by the total number of trials.
[tex]\[ P(\text{heads, tails}) = \frac{\text{Frequency of heads, tails}}{\text{Total number of trials}} \][/tex]
Plugging in the numbers from the table:
[tex]\[ P(\text{heads, tails}) = \frac{73}{240} \][/tex]
4. Convert the probability to a percentage:
- To express the probability as a percentage, multiply by 100.
[tex]\[ P(\text{heads, tails}) = \left( \frac{73}{240} \right) \times 100 \][/tex]
Simplifying this expression gives us:
[tex]\[ P(\text{heads, tails}) \approx 30.4\% \][/tex]
Thus, the probability of flipping the coin twice and getting the outcome "heads, tails" is approximately [tex]\( 30.4\% \)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{30.4\%} \][/tex]
1. Identify the frequency of the desired outcome:
- The table shows that the frequency for the outcome "heads, tails" is 73.
2. Determine the total number of trials:
- The coin was flipped twice for a total of 240 trials as mentioned.
3. Calculate the probability:
- Probability is defined as the number of times the desired outcome occurs divided by the total number of trials.
[tex]\[ P(\text{heads, tails}) = \frac{\text{Frequency of heads, tails}}{\text{Total number of trials}} \][/tex]
Plugging in the numbers from the table:
[tex]\[ P(\text{heads, tails}) = \frac{73}{240} \][/tex]
4. Convert the probability to a percentage:
- To express the probability as a percentage, multiply by 100.
[tex]\[ P(\text{heads, tails}) = \left( \frac{73}{240} \right) \times 100 \][/tex]
Simplifying this expression gives us:
[tex]\[ P(\text{heads, tails}) \approx 30.4\% \][/tex]
Thus, the probability of flipping the coin twice and getting the outcome "heads, tails" is approximately [tex]\( 30.4\% \)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{30.4\%} \][/tex]
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