Answer :

Given: 2 boys and 2 girls are in room P and 1 boy 3 girls are in room Q.


To Find: Write the sample space for the given experiment.


Explanation: Let us denote two boys and girls in room P as B1 , B2 and G1 , G2 respectively


Let us denote 1 boy and 3 girls in room Q as B3 and G3, G4, G5 respectively.


According to the question,


Sample spaces for room Sp are


Sp={(P, B1), (P, B2), (P, G1), (P, G2)}


And, Sample spaces for room Sq are


Sq={(Q, B3), (Q, G1), (Q, G2), (Q, G3)}


Now, The total sample spaces for the given experiment:


S=


S={(P, B1), (P, B2), (P, G1), (P, G2), (Q, B3), (Q, G1), (Q, G2), (Q, G3)}


Hence, S is the sample space for the given experiment


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