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.
The two rooms are X and Y.
The sample space for selection of a room is
Let the two boys and two girls in room X be specified as
The sample space for the selection of a person from room X is
Let one boy and three girls in room Y be specified as
The sample space for the selection of a person from room Y is
If person is selected from room X, we have to combine with sample space and if the person is selected from room Y, we have to combine with sample space
Hence, the combined sample space is :