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Suppose a random variable \( \mathrm{X} \) follows the binomial distribution with parameters \( n \) and \( p \), where \( 0p1 \). If \( \mathrm{P}(x=r) / \mathrm{P}(x=n-r) \) is independent of \( n \) and \( r \), then \( p \) equals
P
(A) \( \frac{1}{2} \)
(B) \( \frac{1}{3} \)
(C) \( \frac{1}{5} \)
(D) \( \frac{1}{7} \)
W
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