Question

2 boys and 2 girls are in room P and 1 boy 3 girls are in room Q. Write the sample space for the experiment in which a room is selected and then a person.

 

Answer 1

Let us denote two boys and two girls in room P as B₁, B₂ and G₁, G₂, respectively.
Let us denote one boy and three girls in room Q as B₃ and G₃, G₄, G_5, respectively.
Accordingly, the required sample space is given by S = {(P, B₁), (P, B₂), (P, G₁), (P, G₂) (Q, B₃), (Q, G₃), (Q, G₄),
(Q, G₅)}.