2 boys and 2 girls are in room P and 1 boy 3 girls are in room Q. Write the sample space for the experiment in which a room is selected and then a person.

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Solution

Let us denote two boys and two girls in room P as B₁, B₂ and G₁, G₂, respectively.
Let us denote one boy and three girls in room Q as B₃ and G₃, G₄, G₅_,respectively.
Accordingly, the required sample space is given by S = {(P, B₁), (P, B₂), (P, G₁), (P, G₂) (Q, B₃), (Q, G₃), (Q, G₄),
(Q, G₅)}.

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2 boys and 2 girls are in room P and 1 boy 3 girls are in room Q. Write the sample space for the experiment in which a room is selected and then a person.

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