## 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 no

Question

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?

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2 weeks 2021-09-09T13:29:10+00:00 1 Answer 0

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

Step-by-step explanation:

Conditional probability formula:

In which

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

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

I am at my office 10% of the time.

This means that

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

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