Comprehension- There are \( \mathrm{n} \) students in a class and the probability that exactly \...

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Comprehension-
There are \( \mathrm{n} \) students in a class and the probability that exactly \( k \) out of \( n \) pass the examination is directly proportional to \( k^{2}(0 \leq k \leq n) \). Then,

The probability that a student selected at random has passed the examination, is
(a) \( \frac{3}{2} \)
(b) \( \frac{n+1}{n+2} \)
(c) \( \frac{3(n+1)}{2(2 n+1)} \)
(d) \( \frac{3(n+1)}{2(n+2)} \)
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