A) \[\frac{875}{{{6}^{34}}}\]
B) \[\frac{875}{2\times {{6}^{34}}}\]
C) \[^{36}{{C}_{2}}{{\left( \frac{5}{6} \right)}^{36}}\]
D) \[^{36}{{C}_{2}}{{\left( \frac{5}{6} \right)}^{34}}{{\left( \frac{1}{6} \right)}^{2}}\]
Correct Answer: B
Solution :
[b] \[np=30,\,\,npq=5\] \[q=\frac{1}{6},\,\,p=\frac{5}{6}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,n=36\] Required probability \[{{=}^{36}}{{C}_{2}}{{\left( \frac{1}{6} \right)}^{34}}{{\left( \frac{5}{6} \right)}^{2}}\] \[=\frac{36\times 35}{2}\frac{25}{{{6}^{34}}\times 36}=\frac{875}{2\times {{6}^{34}}}\]
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