Suppose there are 250 misprints in a book of 500 pages. Assuming that the number of misprints per page is a poisson random variate. The probability that a page selected at random has no miss print is

• A

  ${\text{e}}^{–\text{1}/\text{2}}$

• B

  $\frac{5}{3}{\text{e}}^{–\text{2}/\text{3}}$

• C

  $\text{1}–{\text{e}}^{–\text{2}/\text{3}}$

• D

  $\text{1}–\frac{5}{3}{\text{e}}^{–\text{2}/\text{3}}$