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={(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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