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Three Dice (Mathematics)

Without bothering to list the sample space, how many outcomes would be in the sample space?

Again without bothering to list the sample space, determine how many outcomes comprise the event that you can afford an ice cream cone. Then determine the (exact) probability of this event.

Determine the (exact) probability that I pay for your ice cream cone.

Are these (exact) probabilities within the error bounds of the approximate probabilities from the simulation analysis?