A) \[\frac{36}{91}\]
B) \[\frac{25}{91}\]
C) \[\frac{41}{91}\]
D) \[\frac{30}{91}\]
Correct Answer: D
Solution :
\[P(\bar{E}E)+P(\bar{E}\bar{E}\bar{E}\bar{E}\bar{E})\] \[=\frac{5}{6}\times \frac{1}{6}+{{\left( \frac{5}{6} \right)}^{4}}\times \frac{1}{6}+{{\left( \frac{5}{6} \right)}^{8}}\frac{1}{6}...\infty \] \[=\frac{5}{36}\left[ 1+{{\left( \frac{5}{6} \right)}^{3}}... \right]=\frac{30}{91}\]
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