Login/Sign Up
A dice is thrown once. What is the probability of getting a number: \[\left( \mathbf{i} \right)\]greater than \[\mathbf{2}\]? \[\left( \mathbf{ii} \right)\] less than or equal to \[\mathbf{2}\]?
A dice is thrown once. What is the probability of getting a number: \[\left( \mathbf{i} \right)\]greater than \[\mathbf{2}\]? \[\left( \mathbf{ii} \right)\] less than or equal to \[\mathbf{2}\]?
CBSE | Class 10 | Exercise 13.2 | Selina | Statistics and Probability
A dice is thrown once. What is the probability of getting a number: \[\left( \mathbf{i} \right)\]greater than \[\mathbf{2}\]? \[\left( \mathbf{ii} \right)\] less than or equal to \[\mathbf{2}\]?

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 \[2\text{ }=\text{ }n\left( E \right)/\text{ }n\left( S \right)\text{ }=\text{ }2/6\text{ }=\text{ }1/3\]

i

More Material