SOLUTION: A number is chosen uniformly at random from among the positive integers less than 10^8. Given that the sum of the digits of the number is 9, what is the probability that the number

SOLUTION: A number is chosen uniformly at random from among the positive integers less than 10^8. Given that the sum of the digits of the number is 9, what is the probability that the number

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Question 1189378: A number is chosen uniformly at random from among the positive integers less than 10^8. Given that the sum of the digits of the number is 9, what is the probability that the number is prime?
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.

The probability is zero, since this number is divisible by 9 (apply the rule of divisibility by 9),

and, hence, is a composite number (not a prime).

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