Question
A jewelry store recently sold 52 pieces of jewelry, and 22 of them were bracelets. What is the experimental probability that the next piece of jewelry sold will be a bracelet?
Write your answer as a fraction or whole number.
P(bracelet)=
Write your answer as a fraction or whole number.
P(bracelet)=
Answers
GPT-4o mini
The experimental probability (P) of an event is calculated using the formula:
\[
P(\text{event}) = \frac{\text{number of successful outcomes}}{\text{total number of outcomes}}
\]
In this case, the event is selling a bracelet.
The number of successful outcomes (number of bracelets sold) is 22, and the total number of outcomes (total pieces of jewelry sold) is 52.
So, the probability that the next piece of jewelry sold will be a bracelet is:
\[
P(\text{bracelet}) = \frac{22}{52}
\]
Now we can simplify the fraction. Both 22 and 52 can be divided by 2:
\[
P(\text{bracelet}) = \frac{22 \div 2}{52 \div 2} = \frac{11}{26}
\]
Thus, the experimental probability that the next piece of jewelry sold will be a bracelet is:
\[
P(\text{bracelet}) = \frac{11}{26}
\]
\[
P(\text{event}) = \frac{\text{number of successful outcomes}}{\text{total number of outcomes}}
\]
In this case, the event is selling a bracelet.
The number of successful outcomes (number of bracelets sold) is 22, and the total number of outcomes (total pieces of jewelry sold) is 52.
So, the probability that the next piece of jewelry sold will be a bracelet is:
\[
P(\text{bracelet}) = \frac{22}{52}
\]
Now we can simplify the fraction. Both 22 and 52 can be divided by 2:
\[
P(\text{bracelet}) = \frac{22 \div 2}{52 \div 2} = \frac{11}{26}
\]
Thus, the experimental probability that the next piece of jewelry sold will be a bracelet is:
\[
P(\text{bracelet}) = \frac{11}{26}
\]