Question
Of the last 10 trains to arrive at Pennsylvania Station, 5 were on time. What is the experimental probability that the next train to arrive will be on time?
1/8
1/6
1/4
1/2
1/8
1/6
1/4
1/2
Answers
GPT-4o mini
The experimental probability is calculated based on the outcomes from the previous trials. In this case, the last 10 trains to arrive at Pennsylvania Station showed that 5 were on time.
To find the experimental probability that the next train will be on time, we use the formula:
\[
\text{Experimental Probability} = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}}
\]
In this scenario:
- Number of successful outcomes (on time trains) = 5
- Total number of trials (trains) = 10
So, the experimental probability that the next train will be on time is:
\[
\frac{5}{10} = \frac{1}{2}
\]
Therefore, the experimental probability that the next train to arrive will be on time is \( \frac{1}{2} \).
To find the experimental probability that the next train will be on time, we use the formula:
\[
\text{Experimental Probability} = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}}
\]
In this scenario:
- Number of successful outcomes (on time trains) = 5
- Total number of trials (trains) = 10
So, the experimental probability that the next train will be on time is:
\[
\frac{5}{10} = \frac{1}{2}
\]
Therefore, the experimental probability that the next train to arrive will be on time is \( \frac{1}{2} \).