A) \[\frac{128}{256}\]
B) \[\frac{219}{256}\]
C) \[\frac{37}{256}\]
D) \[\frac{28}{256}\]
Correct Answer: D
Solution :
Given,\[np=4\]and\[npq=2\] \[\therefore \] \[q=\frac{1}{2}\Rightarrow p=\frac{1}{2}\]and\[n=8\] \[\therefore \]Required probability\[{{=}^{8}}{{C}_{2}}{{\left( \frac{1}{2} \right)}^{2}}{{\left( \frac{1}{2} \right)}^{6}}\] \[=28{{\left( \frac{1}{2} \right)}^{8}}=\frac{28}{256}\]
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