Question

Given Probabilities:

P(Thursday and Absent)=0.05
P(Thursday)=0.2

Required Probability: P(Absent | Thursday)
a) 0.25
b) 0.05
c) 0.20
d) 0.10

Answer 1

The probability of an employee being absent given that it is Thursday is found using the conditional probability formula, resulting in an answer of 0.25.

Step-by-step explanation:

The student's question pertains to finding the conditional probability P(Absent | Thursday), which is the probability of an employee being absent given that it is Thursday. According to the given probabilities:

• P(Thursday and Absent) = 0.05
• P(Thursday) = 0.2

The formula for conditional probability is P(A | B) = P(A and B) / P(B).

Applying this formula, we have:

P(Absent | Thursday) = P(Thursday and Absent) / P(Thursday) = 0.05 / 0.2 = 0.25.

Therefore, the correct answer is (a) 0.25.