Question

Question 6 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.

Class X1 - Maths -Probability Page 386

Answer 1

$\:\:\:X\:\:\:\:\:\:\:\:Y\\\\B_1,B_2\:\:\:\:\:B_3\\\\G_1,G_2\:\:\:\:\:\:G_3,G_4,G_5$
room X is selected then, there are four possibilities of selection of members which are B₁ , B₂ , G₁ , G₂.
similarly,
Y is selected then, there are four possibilities of selection of members which are B₃ , G₃, G₄, G₅ .

so, sample space = {XB₁ , XB₂ , XG₁, XG₂ , YB₃, YG₃ , YG₄, YG₅ }