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A lotto game is set up so that 5 digits are going to be randomly drawn, independently from each other, to form a 5 digit

A lotto game is set up so that 5 digits are going to be randomly drawn, independently from each other, to form a 5 digit number. Each digit can take a value between 1 and 9, with each value being equally likely to be chosen. Calculate the following probablities, round your answer to the nearest hundredth of a percent.

(a) the chance that the 5 digit number is even

(b) the chance that all 5 digits are the same

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