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Question

Three groups of children contain 3 girls and one boy, 2 girls and 2 boys, one girl and 3 boys. One child is selected at random form each group. What is the chance that the three selected consist of 1 girl and 2 boys?


A

1732

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B

1132

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C

332

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D

1332

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Solution

The correct option is D

1332


Selection can be made in the following manner:
(i) Boy, boy, girl
Probability p1=14.24.14=132

(ii) Boy, girl, boy
Probability p2=14.24.34=332.

(iii) Girl, boy, boy,
Probability p3=34.24.34=932.

Since these are mutually exclusive cases, probability
=p1+p2+p3=1332


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