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A goldsmith has a bag, which contains some colourful stones. It contains 4 White and 8 Black stone. There is another bag which contains 5 White and 5 Black stones. One stone is to drawn from either of the two bags. What is the probability of drawing a White stone?

A goldsmith has a bag, which contains some colourful stones. It contains 4 White and 8 Black stone. There is another bag which contains 5 White and 5 Black stones. One stone is to drawn from either of the two bags. What is the probability of drawing a White stone? Correct Answer 5/12

GIVEN :

A bag contains 4 White and 8 Black stone.

Another bag which contains 5 White and 5 Black stones. 

 

CONCEPT :

Probability.

 

CALCULATION :

Probability of choosing one bag = 1/2

Probability of White stone from 1st bag = 1/2 × 4C1/12C1 = 4/24 = 1/6

Probability of White stones from 2nd bag = 1/2 × 5C1/10C1 = 5/20 = 1/4

∴ Required probability = 1/6 + 1/4 = 5/12

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