Question 80
A player chooses one number 1–6 and stakes one unit. Three dice are rolled. With k=1,2,3 occurrences of that number, the stake is returned plus k units; with zero occurrences the stake is lost. Is the game favorable to the player or operator, and by how much? How many of 216 outcomes give the player a win? Original choices: A 81; B 91; C 101; D 111; E 121. AI reconstruction: the dice are fair and independent. Explain both the count and expected net gain.
