Answer:
P(Take the bus | Sophomore) = 0.83
Explanation:
For a conditional probability (As given in the example),
P(A|B) is read as,
"The probability of event A occurring given that event B has occurred"
Here event A = Sophomore take a bus
Event B (occurred) = (Drive to school + Take the bus + Walk)
Therefore, P(Take a bus | Sophomore) =
![(25)/((2+25+3))](https://img.qammunity.org/2021/formulas/mathematics/high-school/43lkz560ulydajidgjzsqjn02u6xt2woo7.png)
=
![(25)/(30)](https://img.qammunity.org/2021/formulas/mathematics/high-school/3r9bg76hdm74uqgzwdkkapd48s4stgg9iy.png)
= 0.833
≈ 0.83
P(Take the bus | Sophomore) = 0.83 will be the answer.