A THREE DIGIT NUMBER IS SELECTED AT RANDOM. WHAT IS THE PROBABILITY THAT NONE OF THE THREE DIGITS ARE PRIME.
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To form a three digit number you can use any of the nine digits from 1 to 9 as the first digit and then any of the ten digits from 0 to 9 as the second and third digits. Thus there are 9x10x10 = 900 three digit numbers.
Of the ten digits, 6 are not prime. They are
Hence if you select a three digit number at random the probability that none of its digits are prime is