a bag contains 4 red 3 black 2 white ballss if 3 balls are selected at random the probability of selecting at least one white ball is
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Bag contains 4 red, 3 black and, 2 white balls
Two balls are selected at random
The total no. of ways of doing that is 10
C
2
=
8!×2!
10!
=
8!×2!
10×9×8!
=
2
10×9
=45
Now in the selection we need to ensure that at least on white ball is selected.
Case 1 : 1 white ball + 1 ball of any other color
This can be done in 2
C
1
×7
C
1
=2×7=14 ways
Case 2 : 2 white ball
This can be done in 2
C
2
=1 way
∴ probability of selecting atleast one white ball is =
45
14+1
=
45
15
=
3
1
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