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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?

Respuesta :

mathmate
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:

Probability that Anuj is away and Ben is late is:

0.018

Step-by-step 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)

                 = [tex]\dfrac{30}{100}\times \dfrac{6}{100}[/tex]

                = 0.018

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

0.018

       

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