Question

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 ​

Answer 1

Answer:

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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