Imagine my work place has a problem with tardiness. I monitor a sample of 100 of my workers over a week, collecting information on two things:

1) Were they in management or not (Yes or No)

2) Were they late more than once that week (Yes or No).

Assume there were 57 people in management and 25 of them were late more than once. Of those not in management, 14 of them were late more than once.

What is the probability that an employee chosen at random from this sample is in management, given they were late more than once this week(calculate your answer to 2 dp)?

When writing your answer to calculation questions like this, write only the number and nothing else in the answer box.