A) \[\frac{^{20}{{C}_{10}}\times {{5}^{6}}}{{{6}^{20}}}\]
B) \[\frac{120\times {{5}^{7}}}{{{6}^{10}}}\]
C) \[\frac{84\times {{5}^{6}}}{{{6}^{10}}}\]
D) None of these
Correct Answer: C
Solution :
[c] Desired probability = Probability of getting 3 sixes in first 9 throws \[\times \]getting six in the 10 throw\[={{\,}^{9}}{{C}_{3}}{{\left( \frac{1}{6} \right)}^{3}}{{\left( \frac{5}{6} \right)}^{6}}\times \frac{1}{6}\]
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