A) \[\frac{11}{36}\]
B) \[\frac{36}{11}\]
C) \[\frac{5}{11}\]
D) \[\frac{1}{6}\]
Correct Answer: A
Solution :
Number of ways \[=6\times 6=36\] Sample space = \[\left\{ \begin{align} & (6,\,\,1)\,\,(6,\,\,2)\,\,(6,\,\,3)\,\,(6,\,\,4) \\ & (6,\,\,5)\,\,(1,\,\,6)\,\,(2,\,\,6)\,\,(3,\,\,6) \\ & (4,\,\,6)\,\,(5,\,\,6)\,\,(6,\,\,6) \\ \end{align} \right\}\] \ Probability of at least one 6 \[=P\](one 6) \[+P\]\[=\frac{10}{36}+\frac{1}{36}=\frac{11}{36}.\] (Both 6)
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