Question
If X is a binomial variate with parameters n and p, where 0 < p < 1 such that $\frac{\text{P(X = r)}}{\text{P(X = n - r})}$ is independent of n and r, then p equals:

  1. $\frac{1}{2}$

  2. $\frac{1}{3}$

  3. $\frac{1}{4}$

  4. $\text{None of these}$

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