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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

User Wilfredo
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The Room X: {B1, B2, G1, G2}

Room Y: {B1, G1, G2, G3}

Sample space: {RXB1, RXB2, RXG1, RXG2, RYB1, RYG1, RYG2, RYG3}.

In the given scenario, where there are two rooms, Room X and Room Y, each containing a different combination of boys and girls.

we can construct a comprehensive sample space to represent all possible outcomes when selecting a room and then a person within that room.

The sample space, denoted as S, encompasses the various combinations of room and individual selections.

For Room X, housing 2 boys (B1, B2) and 2 girls (G1, G2), the sample space includes the following possibilities: RXB1, RXB2, RXG1, and RXG2.

On the other hand, Room Y, with 1 boy (B1) and 3 girls (G1, G2, G3), contributes additional outcomes: RYB1, RYG1, RYG2, and RYG3.

Each outcome in the sample space signifies a distinct event, where the first part indicates the selected room, and the second part identifies the chosen person within that room.

This comprehensive sample space encapsulates all potential results, offering a clear representation of the experiment's various permutations and combinations as a room is first chosen, followed by the selection of an individual within that room.

User Connor McMahon
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