98.Casino Triple Match
★★★classical probabilityCh. 1 — Classical Probability and Combinatorics444+ Problems in Probability
A fair 6-sided die, a standard roulette wheel (38 slots: two zeroes and 1–36), and a standard deck of cards are in a casino. Letting Aces count as ones, what is the probability that when the roulette wheel is spun, the die is rolled, and a card is dealt, all of them show the same value?
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The common value is forced to lie in . Sum the probability of a triple match over those values.
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