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You work in an office with 3 other people. One of them is currently infectious with a cold virus. If you have close contact with

You work in an office with 3 other people. One of them is currently infectious with a cold virus. If you have close contact with that person, you'll get the cold. You will have random close contact with 2 different people in your office today (and once you've had contact with one of them, additional encounters do not count as additional exposure or additional close contact). What is the probability that you will get a cold?

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