A die with one face decremented

EasyProbability Conditional Probability & Expectation~4m

A fair $6$ -sided die shows $1$ – $6$ . One face is chosen uniformly at random and its value is decreased by $1$ . The die is then rolled once. What is the probability the roll shows an even value?

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Decrementing a face flips its parity. Split on whether the altered face was even or odd (each prob $1/2$ ).
Even-count becomes $2$ or $4$ respectively; average $\tfrac12(\tfrac26)+\tfrac12(\tfrac46)$ .

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Asked at: Optiver, Akuna Capital

A die with one face decremented

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