A container holds x balls numbered 1 through x. Only one ball has the winning number. (a)

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A container holds x balls numbered 1 through x. Only one ball has the winning number. 

(a) Find a function f that computes the probability, or likelihood, of not drawing the winning ball. 

(b) What is the domain of f? 

(c) What happens to the probability of not drawing the winning ball as the number of balls increases? 

(d) Interpret the horizontal asymptote of the graph of f.

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