A man asked his friend, a mathematician, if he would go on an airplane trip with him.

The mathematician responded that he didn't go on airplane trips because the probability that there could be a bomb on the plane was too high for his comfort. The man bid the mathematician farewell and left by himself.
Not three months later, the man was at an airport when he met the mathematician again. When he asked what made him change his mind, the mathematician responded, "The probability of a bomb being on a plane is still too high. However, I've calculated that the probability of two bombs being on a plane is low enough for my liking. So now, I bring my own bomb onto planes."

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