Question
You flipped a coin 20 times and got a "tail" 13 of those times. What is the experimental probability of getting a heads? Give the ratio in the simplest form.
Answers
GPT-4o mini
To find the experimental probability of getting heads, we first need to determine how many times we got heads during the 20 coin flips.
Since we got tails 13 times, the number of heads is:
\[
\text{Number of heads} = \text{Total flips} - \text{Number of tails} = 20 - 13 = 7
\]
Now, the experimental probability of getting heads is calculated using the formula:
\[
\text{Experimental probability of heads} = \frac{\text{Number of heads}}{\text{Total flips}} = \frac{7}{20}
\]
Now, we check if the ratio \( \frac{7}{20} \) can be simplified. The greatest common divisor (GCD) of 7 and 20 is 1, so the fraction is already in its simplest form.
Therefore, the experimental probability of getting heads, in simplest form, is:
\[
\frac{7}{20}
\]
Since we got tails 13 times, the number of heads is:
\[
\text{Number of heads} = \text{Total flips} - \text{Number of tails} = 20 - 13 = 7
\]
Now, the experimental probability of getting heads is calculated using the formula:
\[
\text{Experimental probability of heads} = \frac{\text{Number of heads}}{\text{Total flips}} = \frac{7}{20}
\]
Now, we check if the ratio \( \frac{7}{20} \) can be simplified. The greatest common divisor (GCD) of 7 and 20 is 1, so the fraction is already in its simplest form.
Therefore, the experimental probability of getting heads, in simplest form, is:
\[
\frac{7}{20}
\]