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Question

A bag contains 3 red, 4 white and 5 blue balls. If two balls are drawn at random, then the probability that they are of different colours, is
A
6647
B
3323
C
13247
D
3347
E
3370
Medium
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Solution

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Correct option is A)
Total number of bassl =3+4+5=12
Favourable number of cases are total minus the balls drawn from same colour
12C2−(3C2+4C2+5C2)
=66−(3+6+10)=66−19=47
Total number of cases =12C2=66
Hence the required probability
=Tota