74.The Most Likely Odd Total
★★★random walksJane Street
A fair 12-sided die numbered 1 to 12 is rolled repeatedly, keeping a running total, and you stop the moment the total becomes odd. Which final total is the most likely?
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The total turns odd exactly on the first odd roll, so the answer is an even running total plus an odd face. Small even totals are reached most often.
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