Hypergeometric Probability

Ivan supervises night sift employees at Walmart. The Swine Flu is back and 15 of his night shift employees called in sick today. Ivan finds it odd that they all have Swine Flu and believes that some of them may be lying about their sickness to go to the Taylor Swift concert tonight.

An employee knows that of these 15 employees that called in sick, 6 have Taylor Swift concert tickets – but Ivan doesn’t know this! Ivan hires a private detective to randomly spy on 5 of his employees that called in sick. What is the probability that exactly 2 of the 5 selected employees will be caught with Taylor Swift tickets?

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