Q. 134.0( 45 Votes )

Two balls are dra

Answer :

Given: A box containing 10 black and 8 red balls.

Total number of balls in box = 18


(i) both balls are red.


Probability of getting a red ball in first draw =


As the ball is replaced after first throw,


Hence, Probability of getting a red ball in second draw =


Now, Probability of getting both balls red =


(ii) first ball is black and second is red.


Probability of getting a black ball in first draw =


As the ball is replaced after first throw,


Hence, Probability of getting a red ball in second draw =


Now, Probability of getting first ball is black and second is red =


(iii) one of them is black and other is red.


Probability of getting a black ball in first draw =


As the ball is replaced after first throw,


Hence, Probability of getting a red ball in second draw =


Now, Probability of getting first ball is black and second is red =


Probability of getting a red ball in first draw =


As the ball is replaced after first throw,


Hence, Probability of getting a black ball in second draw =


Now, Probability of getting first ball is red and second is black =


Therefore, Probability of getting one of them is black and other is red :


= Probability of getting first ball is black and second is red + Probability of getting first ball is red and second is black


=


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