Question

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:

(i) The name of a girl (ii) The name of a boy?

Answer 1

Given: 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

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

(i) The name of a girl

(ii) The name of a boy

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

(i) The names of a girl are 18, so the number of favourable cases is 18

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, 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 favourable cases is 16

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

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