Question
From a sample tray, 3 of the last 9 cake samples chosen were chocolate. What is the experimental probability that the next piece of cake taken will be chocolate?
Write your answer as a fraction or whole number.
P(chocolate)=
Write your answer as a fraction or whole number.
P(chocolate)=
Answers
GPT-4o mini
The experimental probability of an event is calculated by taking the number of successful outcomes (in this case, the number of chocolate cake samples) and dividing it by the total number of trials (in this case, the total number of samples taken).
In your situation:
- The number of chocolate cake samples is 3.
- The total number of cake samples is 9.
So, the experimental probability \( P(\text{chocolate}) \) is calculated as follows:
\[
P(\text{chocolate}) = \frac{\text{Number of chocolate samples}}{\text{Total number of samples}} = \frac{3}{9}
\]
This fraction can be simplified:
\[
P(\text{chocolate}) = \frac{3 \div 3}{9 \div 3} = \frac{1}{3}
\]
Thus, the experimental probability that the next piece of cake taken will be chocolate is:
\[
P(\text{chocolate}) = \frac{1}{3}
\]
In your situation:
- The number of chocolate cake samples is 3.
- The total number of cake samples is 9.
So, the experimental probability \( P(\text{chocolate}) \) is calculated as follows:
\[
P(\text{chocolate}) = \frac{\text{Number of chocolate samples}}{\text{Total number of samples}} = \frac{3}{9}
\]
This fraction can be simplified:
\[
P(\text{chocolate}) = \frac{3 \div 3}{9 \div 3} = \frac{1}{3}
\]
Thus, the experimental probability that the next piece of cake taken will be chocolate is:
\[
P(\text{chocolate}) = \frac{1}{3}
\]