In a class, there are 18 girls and 16 boys. The class teacher wants to choose one pupil for class monitor. What she does, she writes the name of each pupil on a card and puts them into a basket and mixes thoroughly. A child is asked to pick one card from the basket. What is the probability that the name written on the card is the name of a girl?
Given:
In a class, there are 18 girls and 16 boys. The class teacher wants to choose one pupil for class monitor.
She writes the name of each pupil on a card and puts them into a basket and mixes thoroughly.
A child is asked to pick one card from the basket.
To do:
We have to find the probability that the name written on the card is the name of a girl.
Solution:
Number of boys $=16$
Number of girls $=18$
This implies,
The total number of cards $=16+18=34$
The total number of possible outcomes $n=34$.
Total number of favourable outcomes(girls) $=18$.
We know that,
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability that the name written on the card is the name of a girl $=\frac{18}{34}$
$=\frac{9}{17}$
The probability that the name written on the card is the name of a girl is $\frac{9}{17}$.
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