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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

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