Question

Unit 6. 2) Please help. What is the probability that a student is absent given that today is Monday?

Enter your answer as a fraction in simplest form, formatted like this: 3/14

Answer 1

Let's denote:

The probability that today is Monday: P(A)

The probability that a student is absent: P(B)

The probability that a student is absent given that day is Monday: P(B|A)

As given,

P(A intersect B) = 3/100

P(A) = 1/5

=> P(B|A) x P(A) = P(A intersect B)

=> P(B|A) = P(A intersect B)/P(A) = (3/100)/(1/5) = 15/100 = 3/20

Hope this helps!

:)