Question

The probability that it is Monday and that a student is absent is 31003100. Because there are 55 school days in a week, the probability that a randomly selected day of the school week is Monday is 1515. What is the probability that a student is absent given that today is Monday?

Answer 1

Answer: Probability that a student is absent given that today is Monday is 0.15.

Step-by-step explanation:

Since we have given that

Probability that it is Monday and that a student is absent P(M∩A) = $\dfrac{3}{100}$

Number of school days in a week = 5

Probability that a randomly selected day of the school week is Monday = P(M)=$\dfrac{1}{5}$

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

We will use "Conditional Probability":

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

Hence, Probability that a student is absent given that today is Monday is 0.15.