My boss is throwing a birthday party for me. She is going to invite five of my Facebook friends, randomly chosen. (My boss is not one of my Facebook friends. Don’t ask me how she has access to them.)
I’m not very social, so I only have ten Facebook friends, and three of them are my relatives.
What my boss doesn’t know is that my relatives hate each other. If two or more of my relatives show up at the party, a murder is going to happen.
What is the probability that a murder happens at my party?
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