Q. 35.0( 4 Votes )

Two balls a

Answer :

Given:


Bag contains 10 black balls and 8 red balls


It is told that two balls are drawn from bag with replacement.


Let us find the Probability of drawing each colour ball from the bag.


P(B1) = P(drawing black ball from bag)





P(R1) = P(drawing red ball from bag)





We need to find:


(i) P(Drr) = P(both balls drawn are red)


(ii) P(Dbr) = P(first drawn is black and next is red)


(iii) P(Srd) = P(one ball is red and other is black)


P(Drr) = P(both balls drawn are red)


Since drawing a ball is independent for each bag, the probabilities multiply each other.





P(Dbr) = P(first drawn is black and next is red)


Since drawing a ball is independent for each bag, the probabilities multiply each other.





P(Srb) = P(one ball is red and other is black)


P(Srb) = P(first drawn is red and next is black) + P(first drawn black and next is red)


P(Srb) = P(Drb) + P(Dbr)


Since drawing a ball is independent for each bag, the probabilities multiply each other.






The required probabilities are .


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