Question

The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday?

Answer 1

Answer:

0.015 students are absent

Answer 2

Answer: Hence, our required probability is 0.15.

Step-by-step explanation:

Since we have given that

Probability that it is Friday and that a student is absent = 0.03

P(F∩A)= 0.03

Probability it is Friday = 0.2 = P(F)

We need to find the probability that a student is absent given that today is Friday.

So, We will use "Conditional Probability":

$P(A|F)=\dfrac{P(F\cap A)}{P(F)}\\\\P(A|F)=\dfrac{0.03}{0.2}\\\\P(A|F)=0.15$

Hence, our required probability is 0.15.