A) \[\frac{1}{6}\]
B) \[^{12}{{C}_{2}}\times \frac{{{2}^{6}}}{{{12}^{6}}}\]
C) \[^{12}{{C}_{2}}\times \frac{{{2}^{6}}-1}{{{12}^{6}}}\]
D) \[\frac{341}{{{12}^{5}}}\]
Correct Answer: D
Solution :
[d] Exhaustive number of cases \[={{12}^{6}}\] Favourable cases \[{{=}^{12}}{{C}_{2}}({{2}^{6}}-2)\] \[\therefore \] Probability \[=\frac{^{12}{{C}_{2}}({{2}^{6}}-2)}{{{12}^{6}}}=\frac{341}{{{12}^{5}}}\]
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