there are two groups of students consisting of 4boys and 2 girls ,3 boys and 1 girls one student is selected from each group . the probability of one boy and one girl being selected is (a) 1/12 (b)5/12 (c) 1 (d) 1/2
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the probability is option d
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Let us name the group having 4 boys and 2 girls as G1 and the other group as G2.
Probability of selecting boy from G1 = 4/6 = 2/3
Probability of selecting girl from G1 = 2/6 = 1/3
Probability of selecting boy from G2 = 3/4
Probability of selecting girl from G2 = 1/4
Probability of selecting 1 boy and 1 girl = Probability of selecting boy from G1
Probability of selecting girl from G2 + Probability of selecting girl from G1
Probability of selecting boy from G2 = 2/3 * 1/4 + 1/3 3/4
= 2/12+3/12
=5/12
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