Divisor Probability

**We know that $360 = 2^3 \cdot 3^2 \cdot 5$ . To make a number divisible by $4$ we need $2$ 's power to be $2$ or $3.$ There $4$ possibilities for the powers of $2$ $(2^0,2^1,2^2,2^3)$ so the probability is $\frac{2}{4} = \frac{1}{2} = 50$ %