A) \[^{10}{{C}_{4}}{{\left( \frac{1}{2} \right)}^{4}}\]
B) \[^{10}{{C}_{4}}{{\left( \frac{1}{2} \right)}^{6}}\]
C) \[^{10}{{C}_{4}}{{\left( \frac{1}{2} \right)}^{8}}\]
D) \[^{10}{{C}_{6}}{{\left( \frac{1}{2} \right)}^{10}}\]
Correct Answer: D
Solution :
Required probability \[={}^{10}{{C}_{4}}{{\left( \frac{1}{2} \right)}^{4}}{{\left( \frac{1}{2} \right)}^{6}}={}^{10}{{C}_{4}}{{\left( \frac{1}{2} \right)}^{10}}\]\[={}^{10}{{C}_{6}}{{\left( \frac{1}{2} \right)}^{10}}.\]
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