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The probability that an event A will occur, when another event B is known to occur or to have occurred. It is commonly denoted by P(A|B).
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Joint probability of a minimum and maximum score after $n$ dice rolls
An unbiased die is thrown $n$ times; let $M$ and $m$ denote the maximum and minimum points obtained respectively. Find $P\left( m=2, M=5 \right)$. (Hint: begin with $P\left (m\geq2, M\leq 5 \right)$.) …