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Statistics Given Probability

Ive attached the Question. I keep getting 76/125. Could someone please explain it to me thanks?

http://files.physicsandmathstutor.com/download/Maths/A-level/S1/Papers-Edexcel/January%202001%20QP%20-%20S1%20Edexcel.pdf

Question 4 B from Jan 2001 paper S1
The employees of a company are classified as management, administration or production. The following table shows the number employed in each category and whether or not they live close to the company or some distance away.
Live close Live some distance away
Management 6 14
Administration 25 10
Production 45 25
An employee is chosen at random.
Find the probability that this employee
(b) lives close to the company, given that the employee is a manager. (2 marks)

Reply 1

lizardlizard

You'll need to use the formula

P(C|M) = \dfrac{P(C \cap M)}{P(M)}

Where C is living close, and M is being a manager.

You can work out both probabilities on the RHS by dividing the number of those people by the total number of people - for example P(M) is (6+14)/125.
With those 2 values, you can just plug them into the formula to get the answer - you should get 0.3.