A) \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\]
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 :
The probability of getting six in single toss is \[\frac{1}{6}\]and not getting six is \[\frac{5}{6}\] . The probability of getting two six in first seven throw is \[^{7}{{C}_{2}}{{\left( \frac{1}{6} \right)}^{2}}\,{{\left( \frac{5}{6} \right)}^{5}}.\] \[\therefore \] Required probability \[^{7}{{C}_{2}}{{\left( \frac{1}{6} \right)}^{2}}{{\left( \frac{5}{6} \right)}^{5}}\times \frac{1}{6}\] \[=\frac{^{7}{{C}_{2}}{{5}^{5}}}{{{6}^{8}}}\]
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