1. Tardigrade
  2. Question
  3. Mathematics
  4. Let S be the set of points whose coordinates x, y, z are integers that satisfy 0 ≤ x ≤ 2,0 ≤ y ≤ 3 and 0 ≤ z ≤ 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 (p/q) ( p and q are co - prime) then (p+q/100) is

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Q. Let $S$ be the set of points whose coordinates $x, y, z$ are integers that satisfy $0 \leq x \leq 2,0 \leq y \leq 3$ and $0 \leq z \leq 4$. 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

Sequences and Series

Solution:

Correct answer is '2'