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Q.

In a bag there are infinitely many red, white and black balls which are identical. If Ten balls are selected at random then the probability that selection includes atleast one ball from each colour is

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a

411

b

611

c

511

d

711

answer is B.

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Detailed Solution

n=10    r=no of colours=3

n(S)=Cr-1  n+r-1 =C2   12

E=at least one ball from each colour

n(E)=Cr-1  n-1=C2  9  ⇒  P(E)=C2  9C2  12

PE=9×812×11=611

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