Question

A box contains 3 black balls and 2 white balls.Another box contains 2 black and 4 white balls .One ball is

taken from each box.

a) What is the probability of getting both white ?​

Answer 1

Answer:

For the bag A we can see that there are 2 white, 3 red and 2 black balls. Similarly, from bag B we have 4 white, 2 red and 3 black balls.

Probability of choosing a white and then a red ball from bag B is given by =

9

C

2

4

C

1

×

2

C

1

Probability of choosing a white ball then a red ball from bag A is given by =

7

C

2

2

C

1

×

3

C

1

So, the probability of getting a white ball and then a red ball from bag B is given by

9

C

2

4

C

1

×

2

C

1

+

7

C

2

2

C

1

×

3

C

1

9

C

2

4

C

1

×

2

C

1

=

7

2

+

9

2

9

2

=

18+14

2×7

=

16

7