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If X is a discrete random variable that follows Binomial distribution, then which one of the following response relations is correct?

A. $${\text{P}}\left( {{\text{r}} + 1} \right) = \frac{{{\text{n}} - {\text{r}}}}{{{\text{r}} + 1}}{\text{P}}\left( {\text{r}} \right)$$

B. $${\text{P}}\left( {{\text{r}} + 1} \right) = \frac{{\text{p}}}{{\text{q}}}{\text{P}}\left( {\text{r}} \right)$$

C. $${\text{P}}\left( {{\text{r}} + 1} \right) = \frac{{{\text{n}} + {\text{r}}}}{{{\text{r}} + 1}}\frac{{\text{p}}}{{\text{q}}}{\text{P}}\left( {\text{r}} \right)$$

D. $${\text{P}}\left( {{\text{r}} + 1} \right) = \frac{{{\text{n}} - {\text{r}}}}{{{\text{r}} + 1}}\frac{{\text{p}}}{{\text{q}}}{\text{P}}\left( {\text{r}} \right)$$

Answer: Option D


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