1. Seventeenth-century Italian gamblers thought that the probability of getting a sum of 9 when they threw three
dice was equal to the probability of getting a sum of 10. Calculate these two probabilities to see if they were
right.
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Answers
Answer:
Chances, Probabilities, And Odds
Events or outcomes that are equally probable have an equal chance of occurring in each instance. In games of pure chance, each instance is a completely independent one; that is, each play has the same probability as each of the others of producing a given outcome. Probability statements apply in practice to a long series of events but not to individual ones. The law of large numbers is an expression of the fact that the ratios predicted by probability statements are increasingly accurate as the number of events increases, but the absolute number of outcomes of a particular type departs from expectation with increasing frequency as the number of repetitions increases. It is the ratios that are accurately predictable, not the individual events or precise totals.
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