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:

Given

There are 2 rooms

In one room x – 2 boys and 2 girls

That is [B1, B2, G1, G2]

In one room y−1 boy, 3 girls

That is [B3, G3, G4, G5]

∴ When room x is selected, there are four probabilities of members solution

∴ Sample space S = {xB1, xB2, xG1, xG2, yB3, yG3, yG4, yG5}