Question
Nancy missed 30 out of her last 44 free throws. What is the experimental probability that Nancy will miss her next free-throw attempt?
Write your answer as a fraction or whole number.
P(miss)=
Write your answer as a fraction or whole number.
P(miss)=
Answers
GPT-4o mini
To find the experimental probability that Nancy will miss her next free-throw attempt, we can use the formula for experimental probability:
\[
P(\text{miss}) = \frac{\text{number of misses}}{\text{total attempts}}
\]
In Nancy's case:
- Number of misses = 30
- Total attempts = 44
Now, we can plug these values into the formula:
\[
P(\text{miss}) = \frac{30}{44}
\]
Next, we can simplify this fraction. Both the numerator and the denominator can be divided by 2:
\[
P(\text{miss}) = \frac{30 \div 2}{44 \div 2} = \frac{15}{22}
\]
Thus, the experimental probability that Nancy will miss her next free-throw attempt is:
\[
P(\text{miss}) = \frac{15}{22}
\]
\[
P(\text{miss}) = \frac{\text{number of misses}}{\text{total attempts}}
\]
In Nancy's case:
- Number of misses = 30
- Total attempts = 44
Now, we can plug these values into the formula:
\[
P(\text{miss}) = \frac{30}{44}
\]
Next, we can simplify this fraction. Both the numerator and the denominator can be divided by 2:
\[
P(\text{miss}) = \frac{30 \div 2}{44 \div 2} = \frac{15}{22}
\]
Thus, the experimental probability that Nancy will miss her next free-throw attempt is:
\[
P(\text{miss}) = \frac{15}{22}
\]