Question
If I flip a coin 16 times and get the results listed below, what is the EXPERIMENTAL probability of getting HEADS? Express your answer as a percent. Round your answer to the nearest percent.
H H T T T H T T H T H H T T T H
(1 point)
Responses
7%
7%
50%
50%
40%
40%
44%
H H T T T H T T H T H H T T T H
(1 point)
Responses
7%
7%
50%
50%
40%
40%
44%
Answers
GPT-4o mini
To find the experimental probability of getting heads when flipping a coin, you need to follow these steps:
1. Count the number of heads in the results.
2. Count the total number of flips.
3. Use the formula for experimental probability:
\[
\text{Experimental Probability of Heads} = \frac{\text{Number of Heads}}{\text{Total Flips}}
\]
**Counting the results**:
From the results you provided:
- H H T T T H T T H T H H T T T H
Count the "H" outcomes:
- Heads (H): 7
- Total Flips: 16
Now we can calculate the experimental probability:
\[
\text{Experimental Probability of Heads} = \frac{7}{16}
\]
Now, convert this fraction to a percentage:
\[
\frac{7}{16} \approx 0.4375 \text{ (when calculated as a decimal)}
\]
To convert to a percentage, multiply by 100:
\[
0.4375 \times 100 = 43.75\%
\]
Rounding this to the nearest percent gives us:
\[
44\%
\]
Therefore, the experimental probability of getting heads is **44%**.
1. Count the number of heads in the results.
2. Count the total number of flips.
3. Use the formula for experimental probability:
\[
\text{Experimental Probability of Heads} = \frac{\text{Number of Heads}}{\text{Total Flips}}
\]
**Counting the results**:
From the results you provided:
- H H T T T H T T H T H H T T T H
Count the "H" outcomes:
- Heads (H): 7
- Total Flips: 16
Now we can calculate the experimental probability:
\[
\text{Experimental Probability of Heads} = \frac{7}{16}
\]
Now, convert this fraction to a percentage:
\[
\frac{7}{16} \approx 0.4375 \text{ (when calculated as a decimal)}
\]
To convert to a percentage, multiply by 100:
\[
0.4375 \times 100 = 43.75\%
\]
Rounding this to the nearest percent gives us:
\[
44\%
\]
Therefore, the experimental probability of getting heads is **44%**.