A) \[\frac{1}{6}\]
B) \[\frac{1}{36}\]
C) \[\frac{1}{18}\]
D) \[\frac{3}{28}\]
Correct Answer: B
Solution :
[b] A set of occurrence of same number through throwing the three identical dice. \[\because E=\left\{ \left( 111 \right),\left( 2,2,2 \right),\left( 3,3,3 \right),\left( 4,4,4 \right),\left( 5,5,5 \right),\left( 6,6,6 \right) \right\}\] \[n\left( E \right)=6\] \[n\left( S \right)=6\times 6\times 6=216.\] \[\therefore P(E)=\frac{(E)}{n(S)}=\frac{6}{6\times 6\times 6}=\frac{1}{36}.\] Hence, option [b]is correct.
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