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Randomly pick a whole number between 10 and 99 (inclusive). Then multiply the digits together. What is the chance that the resulting number is even?

 Jan 12, 2020
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The ten's digit can be either an odd number (1, 3, 5, 7, 9) or an even number (2, 4, 6, 8).

The probability that this digit is odd is 4/9.

The one's digit has a probability of 5/10 to be odd and a probability of 5/10 to be even.

 

The only way that the product is odd is for each of the two digits to be odd. The probability that this happens is 5/9 x 1/2  =  5/18.

 Jan 12, 2020

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