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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 $\frac{25}{49}$.