Question

what is the probability that a random integer from 91 to 775 is divisible by 14? (all integers in the given range are equally likely to be chosen).

Answer 1

There are 775 - 91 + 1 = 685 integers.

In the given range, the smallest multiple of 14 is 98, and the largest multiple of 14 is 770. ((770-98)/14) + 1 = 49 multiples of 14.

So the probability of choosing a multiple of 14 from this range is 49/685.