A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is an odd number.

Given:

A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly.

To do:

We have to find the probability that the number on the drawn card is an odd number.

Solution:

A bag contains cards numbered \( 1,2,3,4, .., 48,49 \).

This implies,

The total number of possible outcomes $n=49$.

Odd numbers from 1 to 49 are $1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47$ and $49$.

Total number of favourable outcomes $=25$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability that the number on the drawn card is an odd number $=\frac{25}{49}$

The probability that the number on the drawn card is an odd number is $\frac{25}{49}$.