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Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is:

    \[\left( \mathbf{iii} \right)\]

less than or equal to

    \[\mathbf{12}\]

CBSE | Class 10 | Exercise 13.3 | Selina | Statistics and Probability
Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is:

    \[\left( \mathbf{iii} \right)\]

less than or equal to

    \[\mathbf{12}\]

Solution:

    \[\left( iii \right)\]

All the outcomes are favourable to the event

    \[E\text{ }=\]

‘sum of two numbers 

    \[\le ~12\]

Thus,

    \[P\left( E \right)\text{ }=\text{ }n\left( E \right)/\text{ }n\left( S \right)\text{ }=\text{ }36/36\text{ }=\text{ }1\]

i

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