Solution:
The number of possible outcomes when dice is thrown \[=\text{ }\left\{ 1,\text{ }2,\text{ }3,\text{ }4,\text{ }5,\text{ }6 \right\}\]
So\[,\text{ }n\left( S \right)\text{ }=\text{ }6\]
\[\left( i \right)\] Event of getting a number greater than \[2\text{ }=\text{ }E\text{ }=\text{ }\left\{ 3,\text{ }4,\text{ }5,\text{ }6 \right\}\]2
So\[,\text{ }n\left( E \right)\text{ }=\text{ }4\]
Thus, probability of getting a number greater than \[2\text{ }=\text{ }n\left( E \right)/\text{ }n\left( S \right)\text{ }=\text{ }4/6\text{ }=\text{ }2/3\]
\[\left( ii \right)\] Event of getting a number less than or equal to \[2\text{ }=\text{ }E\text{ }=\text{ }\left\{ 1,\text{ }2 \right\}\]
So\[,\text{ }n\left( E \right)\text{ }=\text{ }2\]
Thus, probability of getting a number less than or equal to \[2\text{ }=\text{ }n\left( E \right)/\text{ }n\left( S \right)\text{ }=\text{ }2/6\text{ }=\text{ }1/3\]