Question

2 boys and 2 girls are in Room X, and 1 boy and 3 girls in Room Y. Specify the sample space for the experiment in which a room is selected and then a person.

Answer 1

Let us denote 2 boys and 2 girls in room X as B₁, B₂ and G₁, G₂ respectively. Let us denote 1 boy and 3 girls in room Y as B₃, and G₃, G₄, G₅ respectively.
Accordingly, the required sample space is given by
S = {XB₁, XB₂, XG₁, XG₂, YB₃, YG₃, YG₄, YG₅}