Question
Martha flipped a fair coin 395 times and found that the coin landed on heads 120 times. Find the experimental probability of a coin landing on heads.
0.303
0.845
0.96
0.335
0.303
0.845
0.96
0.335
Answers
GPT-4o mini
To find the experimental probability of the coin landing on heads, you can use the formula:
\[
\text{Experimental Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}
\]
In this case:
- The number of favorable outcomes (number of times heads was flipped) = 120
- The total number of trials (total coin flips) = 395
So, the experimental probability of landing on heads is:
\[
\text{Experimental Probability} = \frac{120}{395}
\]
Now, calculate that value:
\[
\text{Experimental Probability} \approx 0.3038
\]
Rounding to three decimal places gives approximately 0.304. Since 0.3033 rounds to 0.303, the closest option available is **0.303**.
Thus, the answer is **0.303**.
\[
\text{Experimental Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}
\]
In this case:
- The number of favorable outcomes (number of times heads was flipped) = 120
- The total number of trials (total coin flips) = 395
So, the experimental probability of landing on heads is:
\[
\text{Experimental Probability} = \frac{120}{395}
\]
Now, calculate that value:
\[
\text{Experimental Probability} \approx 0.3038
\]
Rounding to three decimal places gives approximately 0.304. Since 0.3033 rounds to 0.303, the closest option available is **0.303**.
Thus, the answer is **0.303**.