A softdrink machine dispenses only regular Coke and diet Cok

A soft-drink machine dispenses only regular Coke and diet Coke. Seventy percent of all purchases from this machine are diet drinks. The machine currently has 8 cans of each type. If 12 customers want to purchase drinks before the machine is restocked, what is the probability that each of the 12 is able to purchase the type of drink desired? Hint: Let x denote the number among the 12 who want a diet drink. For which possible values of x is everyone satisfied? (Round the answer to three decimal places.)

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