Question
So far this season, Kristen scored 6 goals and missed on her 33 other shots on goal. What is the experimental probability that Kristen will score a goal on her next shot?
Write your answer as a fraction or whole number.
P(goal)=
Write your answer as a fraction or whole number.
P(goal)=
Answers
GPT-4o mini
To find the experimental probability that Kristen will score a goal on her next shot, you can use the formula for experimental probability:
\[
P(\text{goal}) = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}}
\]
In this case, Kristen scored 6 goals (successful outcomes) and had a total of 6 goals scored + 33 missed shots = 39 total shots.
So the probability calculation is:
\[
P(\text{goal}) = \frac{6}{39}
\]
To simplify the fraction, divide both the numerator and the denominator by their greatest common divisor, which is 3:
\[
P(\text{goal}) = \frac{6 \div 3}{39 \div 3} = \frac{2}{13}
\]
Thus, the experimental probability that Kristen will score a goal on her next shot is:
\[
P(\text{goal}) = \frac{2}{13}
\]
\[
P(\text{goal}) = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}}
\]
In this case, Kristen scored 6 goals (successful outcomes) and had a total of 6 goals scored + 33 missed shots = 39 total shots.
So the probability calculation is:
\[
P(\text{goal}) = \frac{6}{39}
\]
To simplify the fraction, divide both the numerator and the denominator by their greatest common divisor, which is 3:
\[
P(\text{goal}) = \frac{6 \div 3}{39 \div 3} = \frac{2}{13}
\]
Thus, the experimental probability that Kristen will score a goal on her next shot is:
\[
P(\text{goal}) = \frac{2}{13}
\]