1.

A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing 2 green balls an one blue ball isA. `3/28`B. `2/21`C. `1/28`D. `167/168`

Answer» Probability of drawing 2 green balls and one blue ball
`=P_(G)cdotP_(G)cdotP_(B)+P_(B)cdotP_(G)cdotP_(G)+P_(G)cdotP_(B)cdotP_(G)`
`=3/8cdot2/7cdot2/6+2/8cdot3/7cdot2/6+3/8cdot2/7cdot2/6`
`=1/28+1/28+1/28=3/28`


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