A) \[\frac{150}{{{6}^{5}}}\]
B) \[\frac{225}{{{6}^{5}}}\]
C) \[\frac{175}{{{6}^{5}}}\]
D) \[\frac{200}{{{6}^{5}}}\]
Correct Answer: C
Solution :
Let p be the success that die turns up 4. \[\therefore \]\[p=\frac{1}{6},q=\frac{5}{6}.\]Here n = 5 \[\therefore \]Required probability \[={{\left( \frac{5}{6} \right)}^{3}}{{\left( \frac{1}{6} \right)}^{2}}{{+}^{2}}{{C}_{1}}{{\left( \frac{5}{6} \right)}^{2}}{{\left( \frac{1}{6} \right)}^{3}}\] \[=\frac{1}{{{6}^{5}}}({{5}^{3}}+2\times {{5}^{2}})=\frac{175}{{{6}^{5}}}\]
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