The probability that the selected student is a sophomore given that he is a boy will be 5/12.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events.
we need to select the probability that the selected student is a sophomore given that he is a boy;
In this case;
P(B) = P(boy)
P(A) = P(sophomore)
The total number of students which is 12 + 18 = 30
From the table;
P(B) = 12/30
P(A n B) = 5/30
So;
P(A|B) = 5/30 / 12/30
= 5/30 x 30/12 = 5/12
Hence, the probability that the selected student is a sophomore given that he is a boy will be 5/12.
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