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) = [tex]\dfrac{3}{100}[/tex]
Number of school days in a week = 5
Probability that a randomly selected day of the school week is Monday = P(M)=[tex]\dfrac{1}{5}[/tex]
We need to find the probability that a student is absent given that today is Monday.
We will use "Conditional Probability":
[tex]P(A|M)=\dfrac{P(M\cap A)}{P(M)}\\\\P(A|M)=\dfrac{0.03}{0.2}\\\\P(A|M)=0.15[/tex]
Hence, Probability that a student is absent given that today is Monday is 0.15.
