Question

A number is selected at random from 1 to 30. Find the probability that it is a prime number.

Answer 1

A={2,3,5,7,11,13,17,19,23,29}

P(A) = Number of favourable outcomes / Total number of possible outcomes

= 10/30

= 1/3

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Answer 2

The probability that it is a prime number is $\frac{1}{3}$

Step-by-step explanation:

Given : A number is selected at random from 1 to 30.

To find : The probability that it is a prime number ?

Solution :  

The prime numbers between 1 to 30 are {2,3,5,7,11,13,17,19,23,29}

The favorable outcome of getting a prime number = 10

Total number of outcome = 30

The probability that it is a prime number is given by,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}$

$\text{Probability}=\frac{10}{30}$

$\text{Probability}=\frac{1}{3}$

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