QuantForcesquant interview practice

RB_CH04_Q004. Single die three times stopping rule

difficulty 900·answer type: probability·Not solved

Problem

I will roll a single die no more than three times. You can stop me immediately after the first roll, or immediately after the second, or you can wait for the third. I will pay you the same number of dollars as there are dots on the single upturned face on my last roll (roll number three unless you stop me sooner). What is your playing strategy?

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