Question
A white-and-green spinner landed on white on 10 out of 14 spins. What is the experimental probability that the next spin will land on white?
Write your answer as a fraction or whole number.
P(white)=
Write your answer as a fraction or whole number.
P(white)=
Answers
GPT-4o mini
The experimental probability of an event is calculated by dividing the number of successful outcomes by the total number of trials.
In this case, the spinner landed on white 10 times out of a total of 14 spins. Therefore, the experimental probability \( P(\text{white}) \) can be calculated as follows:
\[
P(\text{white}) = \frac{\text{Number of times white was landed on}}{\text{Total number of spins}} = \frac{10}{14}
\]
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:
\[
P(\text{white}) = \frac{10 \div 2}{14 \div 2} = \frac{5}{7}
\]
Thus, the experimental probability that the next spin will land on white is:
\[
\boxed{\frac{5}{7}}
\]
In this case, the spinner landed on white 10 times out of a total of 14 spins. Therefore, the experimental probability \( P(\text{white}) \) can be calculated as follows:
\[
P(\text{white}) = \frac{\text{Number of times white was landed on}}{\text{Total number of spins}} = \frac{10}{14}
\]
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:
\[
P(\text{white}) = \frac{10 \div 2}{14 \div 2} = \frac{5}{7}
\]
Thus, the experimental probability that the next spin will land on white is:
\[
\boxed{\frac{5}{7}}
\]