Two balls are drawn, from a bag containing 3 red, 4 white...
Two balls are drawn, from a bag containing 3 red, 4 white and 5 black identical balls. Find the probability that they are all of the same colour.
533
1366
853
1966
Correct answer is D
P(two same color balls)=P(2 red)+P(2 white)+P(2 black)
P(2 red)=312×211=122
P(2 white)=412×311=111
P(2 black)=512×411=533
P(2 same color balls)=122+111+533=1966
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