Question
Of the last 20 trains to arrive at Danville Station, 15 were on time. What is the experimental probability that the next train to arrive will be on time?
Write your answer as a fraction or whole number.
P(on time)=
Write your answer as a fraction or whole number.
P(on time)=
Answers
GPT-4o mini
The experimental probability of an event is calculated by taking the number of times the event occurs and dividing it by the total number of trials.
In this case, the event is a train arriving on time. From the data provided:
- Number of trains that were on time = 15
- Total number of trains = 20
So, the experimental probability \( P(\text{on time}) \) is calculated as follows:
\[
P(\text{on time}) = \frac{\text{Number of trains on time}}{\text{Total number of trains}} = \frac{15}{20}
\]
To simplify the fraction:
\[
\frac{15}{20} = \frac{3}{4}
\]
Therefore, the experimental probability that the next train to arrive will be on time is:
\[
P(\text{on time}) = \frac{3}{4}
\]
In this case, the event is a train arriving on time. From the data provided:
- Number of trains that were on time = 15
- Total number of trains = 20
So, the experimental probability \( P(\text{on time}) \) is calculated as follows:
\[
P(\text{on time}) = \frac{\text{Number of trains on time}}{\text{Total number of trains}} = \frac{15}{20}
\]
To simplify the fraction:
\[
\frac{15}{20} = \frac{3}{4}
\]
Therefore, the experimental probability that the next train to arrive will be on time is:
\[
P(\text{on time}) = \frac{3}{4}
\]