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.

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#### Solution

Let us denote 2 boys and 2 girls in room X as B_{1}, B_{2} and G_{1}, G_{2} respectively. Let us denote 1 boy and 3 girls in room Y as B_{3}, and G_{3}, G_{4}, G_{5 }respectively.

Accordingly, the required sample space is given by S = {XB_{1}, XB_{2}, XG_{1}, XG_{2}, YB_{3}, YG_{3}, YG_{4}, YG_{5}}

Concept: Random Experiments

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