Question

The probability that Anuj will be in class is 70%. The probability that Ben is late for class is 6%. What is the probability that Anuj is away and Ben is late?

Answer 1

Assuming independence of the two events, the probability that both events will happen is the product of the two individual probabilities.
P(Anuj away ∩ Ben is late) = 70%*6% = 0.042

Answer 2

Probability that Anuj is away and Ben is late is:

0.018

Explanation:

A: Anuj is away i.e. he will not be in the class

P(A)=30/100 (30% he will not be in the class)

B: Ben is late

P(B)=6/100 (6% he will be late)

A∩B: Anuj is away and Ben is late

Events A and B are independent

So, P(A∩B)=P(A)×P(B)

=
`(30)/(100)* (6)/(100)`

= 0.018

So, probability that Anuj is away and Ben is late is:

0.018