[Math] if one three digit number (0 cannot be left digit) is chosen at random from all those that can be made from the set bellow.

probability

SET = {0,1,2,3,4,5,6}

find the probability that the three digit number chosen is NOT a multiple of 5..

how would i do this question?

Best Answer

HINT: the number of digits and the fact that the left-most digit cannot be zero are irrelevant. A number is a multiple of five if and only if it ends in five or zero, and there are seven possibilities for the last digit. But this trick won't help determine the probability that it is not divisible by e.g. eleven.