Drunken Secretary

Probability Level 4

A secretary must send 4 emails to person A, B, C, and D.

However on a given day, suppose this incompetent secretary sends those 4 emails in a completely randomly order, let P\mathcal{P} denote the probability of each person received the wrong email.

What is the value of 24P 24 \mathcal{P} ?

Details and Assumptions

  • Each person A, B, C, D received exactly one email.
Image Credit: Wikimedia Email Logo

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