Question
A fair coin is tossed 12 times. The heads appear 7 times. Find the experimental probability of getting heads.
127
712
612
75
127
712
612
75
Answers
GPT-4o mini
To find the experimental probability of getting heads, we use the formula:
\[
\text{Experimental Probability} = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}}
\]
In this case, the event is getting heads. The coin is tossed 12 times, and heads appear 7 times. Therefore:
\[
\text{Experimental Probability of getting heads} = \frac{7}{12}
\]
Now, we can compare \(\frac{7}{12}\) to the options provided. However, it's clearer to convert \(\frac{7}{12}\) to a decimal or percentage:
\[
\frac{7}{12} \approx 0.5833 \quad \text{or} \quad 58.33\%
\]
Looking at the options given (127, 712, 612, 75), none of these numbers directly correspond to the fraction \(\frac{7}{12}\), but it's also possible that none of these are meant to be presented as they are.
Therefore, the correct experimental probability of getting heads from the coin tosses is \(\frac{7}{12}\), and none of the provided options accurately match this result directly. If you meant for me to simplify or interpret the results differently, please clarify.
\[
\text{Experimental Probability} = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}}
\]
In this case, the event is getting heads. The coin is tossed 12 times, and heads appear 7 times. Therefore:
\[
\text{Experimental Probability of getting heads} = \frac{7}{12}
\]
Now, we can compare \(\frac{7}{12}\) to the options provided. However, it's clearer to convert \(\frac{7}{12}\) to a decimal or percentage:
\[
\frac{7}{12} \approx 0.5833 \quad \text{or} \quad 58.33\%
\]
Looking at the options given (127, 712, 612, 75), none of these numbers directly correspond to the fraction \(\frac{7}{12}\), but it's also possible that none of these are meant to be presented as they are.
Therefore, the correct experimental probability of getting heads from the coin tosses is \(\frac{7}{12}\), and none of the provided options accurately match this result directly. If you meant for me to simplify or interpret the results differently, please clarify.