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A hot drinks vending machine supplies coffee, tea, and cocoa, the demands for which are in the ratios 4:3:3. The probability that a machine is

A hot drinks vending machine supplies coffee, tea, and cocoa, the demands for which are in the ratios 4:3:3. The probability that a machine is unable to supply coffee on demand is 0.02, and the corresponding probabilities for tea and cocoa are 0.03 and 0.02, respectively. Given that the machine is unable to supply a particular customer's choice, calculate the probabilities that the customer required

(i) Coffee

(ii) tea

(iii) cocoa

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