Question

Below a two-way table is given for a class of students. Find the probability the student is a junior given that they are a a male

Answer 1

The conditional probability of the event that a student is a junior and a male is; 4/15

What is conditional probability?; Conditional probability is the probability of an event where a related event has already occured.

The probability of the student is a junior and also that the student is a male can be found as follows;

Number of students is; 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30

Number of juniors is; 2 + 6 = 8

P(junior) is; 8/30 = 4/15

Number of male is; 4 + 6 + 2 + 2 = 14

P(Male) is; 14/30 = 7/15

P(junior and male) is; (4/15) × (7/15) = 28/225

P(junior | male) is; (28/225)/(7/15) = 4/15