A) Because of their peculiar shape, the bones only had four numbered faces. Traditionally, these had the values 1, 3, 4 and 6. The approximate probabilities of rolling each number were in the ratios 1 : 3 : 3 : 1. Playing with 3 such knucklebones, and assuming these probabilities are exact, what is the probability of rolling a sum total of 8?
B) From what we know of the ancient Greeks and Romans, they tended to play with 4 knucklebones and particular throws had distinctive names. A Venus (or Aphrodite) was a roll in which all four different numbers appeared, (1, 3, 4, 6); a Dog was the lowly (1, 1, 1, 1)! What is the probability of rolling a Venus?
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