Question
You flipped a count 20 times and got a tail 13 of those times. What is the experimental probability of getting a heads? (ratio simplest form.)
Answers
GPT-4o mini
To find the experimental probability of getting heads, you first need to know how many heads you got in the 20 flips. Since you flipped the coin 20 times and got tails 13 times, you can find the number of heads by subtracting the number of tails from the total number of flips:
\[
\text{Number of heads} = \text{Total flips} - \text{Number of tails} = 20 - 13 = 7
\]
Now, the experimental probability of getting heads is the ratio of the number of heads to the total number of flips:
\[
\text{Experimental probability of heads} = \frac{\text{Number of heads}}{\text{Total flips}} = \frac{7}{20}
\]
Since 7 and 20 have no common factors (7 is a prime number), the fraction \( \frac{7}{20} \) is already in its simplest form.
Thus, the experimental probability of getting heads is:
\[
\frac{7}{20}
\]
\[
\text{Number of heads} = \text{Total flips} - \text{Number of tails} = 20 - 13 = 7
\]
Now, the experimental probability of getting heads is the ratio of the number of heads to the total number of flips:
\[
\text{Experimental probability of heads} = \frac{\text{Number of heads}}{\text{Total flips}} = \frac{7}{20}
\]
Since 7 and 20 have no common factors (7 is a prime number), the fraction \( \frac{7}{20} \) is already in its simplest form.
Thus, the experimental probability of getting heads is:
\[
\frac{7}{20}
\]