Question

A sanitation committee of 2 members is to be formed from 3 boys and

2 girls. Write sample space ‘S’ and number of sample points n(S). Also write

the following events in set form and number of sample points in the event.

(i) Condition for event A : at least one girl must be a member of the committee.

(ii) Condition for event B : Committee must be of one boy and one girl.

(iii) Condition for event C : Committee must be of boys only.​

Answer 1

Answer:

Suppose B1, B2, B3 are three boys and G1 G2 are two girlsOut of these boys and girls, a sanitation committee of two members is to be

:S={B1B2,B1B3,B2B3,B1G1,B1G2,B2G1,B2G2,B3G1,B3G2,G1G2}

n(S) = 10

(i) Condition for event A is that at least one girl should be in the committee.

A = {B1G1,B1G2,B2G1,B2G2,B3G1,B3G2, G1G2}

n(A) = 7

(ii) Condition for event B is that one boy and one girl should be there in the committee.

B = {B1G1,B1G2,B2G1,B2G2,B3G1,B3G2}

n(B) = 6

(iii) Condition for event C is that there should be only boys in the committee.

C = {B1B2,B1B3,B2B3}

n(C) = 3

Answer 2

A sanitation committee is to be formed from 3 boys and 2 girls

Write sample space S and number of sample points in the event

1. Condition for event A At least one girl must be a member of the committee

2. Condition for event B Committee must be of one boy and one girl

3. Condition for event C Committee must be of boys only

4. Condition of event D At the most one girl should be a member of the committee