To solve for [tex]\( P(\text{Adult}|\text{Second run}) \)[/tex], we need to determine the probability that a randomly selected passenger from the second run is an adult.
Let's follow these steps:
1. Identify the number of adults on the second run:
From the table, the number of adults on the second run is 219.
2. Identify the total number of passengers on the second run:
From the table, the total number of passengers on the second run is 365.
3. Calculate the probability:
The probability [tex]\( P(\text{Adult}|\text{Second run}) \)[/tex] is given by the ratio of the number of adults on the second run to the total number of passengers on the second run:
[tex]\[
P(\text{Adult}|\text{Second run}) = \frac{\text{Number of adults on second run}}{\text{Total number of passengers on second run}} = \frac{219}{365}
\][/tex]
4. Round the result to the nearest thousandth:
The fraction [tex]\(\frac{219}{365}\)[/tex] evaluates to approximately 0.6 when rounded to the nearest thousandth.
Hence, the value of [tex]\( P(\text{Adult}|\text{Second run}) \)[/tex], rounded to the nearest thousandth, is 0.6. Therefore, the correct answer is:
A. 0.6
