[Math] A four-digit number is chosen at random from all four-digit number

probability

Can anyone help me with this problem? I know four-digit numbers are these from 1000 to 9999. I don't know how to find the probability in that a large range.

A four-digit number is chosen at random from all four-digit number. Express as a common fraction the probability that the number is divisible by 2, 3,4 and 5.

Best Answer

Hint: a number is divisible by $2$,$3$,$4$ and $5$ if and only if that number is divisible by $60$. (Why?)