The probability of a student taking the bus given that the student is a sophomore is 0.83
The complete question is attached with the answer below:-
What is probability?
Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that:
- P(Walk to school | Sophomore) = 3 /(2 + 25 + 3) = 0.1
- To calculate the probability of a student taking the bus given that the student is a sophomore, we make use of:
- P(Take the bus | Sophomore ) = 25/(2 + 25 + 3)
Rewrite properly as:
[tex]P_r = \dfrac{25}{3+2+25}[/tex]
So, we have:
[tex]P_r = \dfrac{25}{30}[/tex]
Divide 25 by 30
Pr = 0.83
Hence, the probability of a student taking the bus given that the student is a sophomore is 0.83
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