Question

The probability that it is Friday and that a student is absent is 0.03. Since there are five 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:

0.15

Step-by-step explanation:

We have been given that the probability that it is Friday and that a student is absent is 0.03. Since there are five school days in a week, the probability that it is Friday is 0.2.

To solve the given problem, we will use conditional probability formula.

$P(B|A)=\frac{P(A\text{ and }B)}{P(A)}$, where,

P(B|A) = Probability of event B given A.

P(A and B) = Probability of event A and B.

P(A) = Probability of event A.

$P(\text{Absent}|\text{Friday})=\frac{P(\text{Friday and absent})}{P(\text{Friday})}$

$P(\text{Absent}|\text{Friday})=\frac{0.03}{0.2}$

$P(\text{Absent}|\text{Friday})=\frac{3}{20}$

$P(\text{Absent}|\text{Friday})=0.15$

Therefore, the probability, that a student is absent given that today is Friday, would be 0.15.