Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn cards is an odd number.
Given:
Cards numbered from 11 to 60 are kept in a box. A card is drawn at random from the box.
To do:
We have to find the probability that the number on the drawn card is an odd number.
Solution:
Total number of cards $=60-11+1=50$
This implies,
The total number of possible outcomes $n=50$.
Odd numbers from 11 to 60 are $11, 13, 15,....... 57, 59$
Total number of odd numbers from 11 to 60 $=25$
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 $=\frac{25}{50}$
$=\frac{1}{2}$
The probability that the number on the drawn card is an odd number is $\frac{1}{2}$.
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