
### Instruction: help me answer this question 2 boys and 2 girls are in Room X, and 1 boy and 3 girls are in Room Y. Specify the sample space for the experiment in which a room is selected and then a person., think step by step
### Assistant:  , The answer is Let 2 boys and 2 girls in Room X be denoted by b1, b2 and, g1, g2, and 1 boy and 3 girls in Room Y by b3 and g3, g4, and g5. The overall sample space S is {(X,b1),(X,b2),(X,g1),(X,g2),(Y,b3),(Y,g3),(Y,g4),(Y,g5)}.
