Question

one box contain 8 black balls and 12 white balls another box contains 9 black and 6 white balls one ball is taken from each box at random what is is probability of getting both black what is the probability of getting both white what is probability of getting one black and one white​

Answer 1

Answer:

First box contains 8 black and 12 white balls Second box contains 9 black and 6 white balls

(a) One black balls from each box is taken.

Number of such cases = 8×9=72

Total number of possibilities = 20×15=300

Probablity of getting both black balls = 72/300=6/25.

(b) One black and one white ball is taken.

So if one black ball is taken from first box then one white ball is taken from second box and if one white ball is taken from first box then one black ball is taken from second box.

Number of such cases = 8×6+12×9=48+108=156

Total number of possibilities = 20×15=300

Probablity of getting one black and one white ball = 156/300=13/25.

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