There are three bags A,B,C ,Bag A contains two wh

Question

There arethree bags A,B,C ,Bag A contains two white balls and three black balls,Bag B contains four white balls and two black balls Bag C contains three white balls and two black balls.If a ball is drawn at random from randomly chosen bag,then findthe prabability that thedrawn is black ball

Samyak Jain · Accepted Answer

Probability of choosing any bag out of the three is 1/3i.e. probability of choosing bag A is 1/3,that of bag B is 1/3 and that of bag C is 1/3.Now, probability of drawing a black ball out of 3 black and 2 white balls is 3/5.So, probability of drawing a black ball from radomly chosen bag A is (1/3)(3/5).Similarly, probability of drawing a black ball from radomly chosen bag B is (1/3)(2/6)and that of drawing a black ball from radomly chosen bag C is (1/3)(2/5). required probability is (1/3)(3/5) + (1/3)(2/6) + (1/3)(2/5)=(1/3)(3/5 + 2/6 + 2/5)=(1/3) (4/3)=4/9.

Magical Mathematics[Interesting Approach]> There are three bags A,B,C ,Bag A contain...

There arethree bags A,B,C ,Bag A contains two white balls and three black balls,Bag B contains four white balls and two black balls Bag C contains three white balls and two black balls.If a ball is drawn at random from randomly chosen bag,then findthe prabability that thedrawn is black ball

Md Nayyum , 5 Years ago

Samyak Jain

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There arethree bags A,B,C ,Bag A contains two white balls and three black balls,Bag B contains four white balls and two black balls Bag C contains three white balls and two black balls.If a ball is drawn at random from randomly chosen bag,then findthe prabability that thedrawn is black ball

Md Nayyum , 5 Years ago

Samyak Jain

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