In a class, there are $18$ girls and $16$ boys. The class teacher wants to choose one pupil for class monitor. Then What she does, she writes the name of each pupil on a card and puts them into a basket and mixes thoroughly. If A child is asked to pick one card from the basket. What is the probability that the name written on the card is: (i) The name of a girl (ii) The name of a boy?

Given that In a class there are $18$ girls and $16$ boys, the class teacher wants to choose one name. The class teacher writes all pupils’ name on a card and puts them in basket and mixes well thoroughly. A child picks one card

to find: The probability that the name written on the card is if

(i) The name of a girl

(ii) The name of a boy

So, Total number of students in the class $=18+16=34$

(i) Therefore, the names of ‘a girl’ are $18$, so the number of favorable cases is $18$

We know that the Probability = Number of favorable outcomes/ Total number of outcomes

Hence, the probability of getting a name of girl on the card $=18/34=9/17$

(ii) The names of ‘a boy’ are 16, so the number of favorable cases is $16$

We know that the Probability = Number of favorable outcomes/ Total number of outcomes

Hence, the probability of getting a name of boy on the card $=16/34=8/17$