Of the trains that recently pulled into Westford Station, 16 were full and 4 had room for more passengers. What is the experimental probability that the next train to pull in will be full?

Write your answer as a fraction or whole number.
P(full)=

1 answer

To find the experimental probability that the next train to pull in will be full, we can use the formula for experimental probability:

\[ P(\text{full}) = \frac{\text{Number of full trains}}{\text{Total number of trains}} \]

From the information given:

  • Number of full trains = 16
  • Number of trains with room for more = 4

Now, we need to calculate the total number of trains:

\[ \text{Total number of trains} = \text{Number of full trains} + \text{Number of trains with room for more} = 16 + 4 = 20 \]

Now we can substitute the values into the probability formula:

\[ P(\text{full}) = \frac{16}{20} \]

To simplify the fraction:

\[ P(\text{full}) = \frac{16 \div 4}{20 \div 4} = \frac{4}{5} \]

So, the experimental probability that the next train to pull in will be full is:

\[ P(\text{full}) = \frac{4}{5} \]