Question

Form a ‘Road Safety Committee’ of two, from 2 boys (B₁, B₂) and 2 girls (G₁, G₂).

Complete the following activity to write the sample space :

1. Committee of 2 boys = `{square}`
2. Committee of 2 girls = `{square}`
3. Committee of one boy and one girl = `{B_1G_1, B_1G_2, square, square}`
4. ∴ Sample space (S) = `{(B_1 B_2),(B_1 G_1), square, square, (B_2 G_2),(G_1 G_2)}`

Answer 1

1. Committee of 2 boys = {B₁ B₂}
2. Committee of 2 girls = {G₁ G₂}
3. Committee of one boy and one girl = B₁G₁, B₁G₂, B₂ G₁, B₂ G₂}
4. ∴ Sample space (S) = {(B₁ B₂), (B₁ G₁), (B₁ G₂), (B₂ G₁), (B₂ G₂),(G₁ G₂)}