A certain junior class has 600 students and a certain senior

Source: Manhattan Prep

A certain Junior class has 600 students and a certain Senior class has 800 students. Among these students, there are N sibling pairs, consisting of a junior and a Senior. What is the value of N?

1) If a student is selected from each class at random, the probability that the students do not form a sibling pair is $\frac{4799}{4800}$.

2) If a student is selected from each class at random, the probability that exactly ONE of these students is a member of a sibling pair is $\frac{1}{4}$.

The OA is A

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