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Akimi4 [234]
3 years ago
14

I am at my office AND not working 2\%2% of the time. I am at my office 10\%10% of the time. What is the conditional probability

that I am not working, if I am at my office?
Mathematics
1 answer:
seropon [69]3 years ago
5 0

Answer:

20% conditional probability that I am not working, if I am at my office

Step-by-step explanation:

Conditional probability formula:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Being at the office.

Event B: Not working.

I am at my office AND not working 2% of the time.

This means that P(A \cap B) = 0.02

I am at my office 10% of the time.

This means that P(A) = 0.1

What is the conditional probability that I am not working, if I am at my office?

P(B|A) = \frac{P(A \cap B)}{P(A)}

P(B|A) = \frac{0.02}{0.1}

P(B|A) = 0.2

20% conditional probability that I am not working, if I am at my office

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