Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys respectively. One child is selected at random from each group. Find the chance that the three selected comprise one girkl and 2 boys.

Options

A. `(13)/(32)`
B. `(9)/(32)`
C. `(3)/(32)`
D. `(1)/(32)`

Answer

A

Explanation

Required probability.
`=(3)/(4) xx (2)/(4) xx (3)/(4) xx (1)/(4)xx(3)/(4) +(1)/(4) xx (2)/(4) xx(1)/(4)`
` = (26)/(64) = (13)/(32)`