Question

Let $S$ be the set of points whose coordinates $x,y,z$ are integers that satisfy $0\le x\le 2,0\le y\le 3$ and $0\le z\le 4$. Two distinct points are randomly chosen from $S$. If, the probability that the mid - point of the segment they determine also belongs to $S$ is $\frac{p}{q}$ ( $p$ and $q$ are co - prime) then $\frac{p+q}{100}$ is

Answer 1

Answer: 2

Correct answer is (b)