# Ex.5.3 Q6 Data Handling Solutions - NCERT Maths Class 8

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## Question

Find the probability of the events given in Question $$2.$$

Video Solution
Data Handling
Ex 5.3 | Question 6

## Text Solution

What is known?

A situation in which a die is thrown.

What is unknown?

Probability of the events

Reasoning:

Probability

\begin{align} =\frac{{{\text{Number of favourable outcomes}}}}{{{\text{Total number of outcomes}}}} \end{align}

Steps:

When a die is thrown, there are total six outcomes, i.e., $$1, 2, 3, 4, 5$$ and $$6.$$

(i) (a) $$2, 3, 5$$ are prime numbers. So, there are $$3$$ outcomes out of $$6.$$

Therefore,probability of getting a prime number

\begin{align} = \frac{3}{6} = \frac{1}{2} \end{align}

(b) $$1, 4, 6$$ are not the prime numbers. So, there are $$3$$ outcomes out of $$6.$$

Therefore, probability of getting a prime number

\begin{align} = \frac{3}{6} = \frac{1}{2} \end{align}

(ii) (a) Only $$6$$ is greater than $$5.$$ So, there is one outcome out of $$6.$$

Therefore, probability of getting a number greater than

\begin{align} 5 = \frac{1}{6} \end{align}

(b) Numbers not greater than $$5$$ are $$1, 2, 3, 4$$ and $$5.$$ So there are $$5$$ outcomes out of $$6.$$

Therefore, probability of not getting a number greater than

\begin{align} 5 = \frac{1}{6} \end{align}

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