A) \[\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{7}}}\]
B) \[\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{8}}}\]
C) \[\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{6}}}\]
D) none of these
Correct Answer: B
Solution :
Required probability \[{{=}^{7}}{{C}_{2}}{{\left( \frac{1}{6} \right)}^{2}}{{\left( \frac{5}{6} \right)}^{2}}\times \frac{1}{6}\]\[=\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{8}}}\]
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