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Question

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

Solution
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Given:

The two rooms are X and Y.

In room X2 boys, 2 girls

[B1,B2,G1,G2]

In room Y1 boy, 3 girls

[B3,G3,G4,G5]

Case1:
When room X is selected, there are four probabilities of members solution

{xB1, xB2, xG1, xG2}

Case 2:

When room Y is selected, there are four probabilities of members solution.

{yB3, yG3, yG4, yG5}


Therefore, Sample space
S={xB1, xB2, xG1, xG2, yB3, yG3, yG4, yG5}

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