(i) Coloured balls are distributed in th...

(i) Coloured balls are distributed in three bags as shown in the following table :

A bag is selected at random and then two balls are randomly drawn from the selected bag. They happen to be black and red. Find the probability that they come from bag I ?
(ii) Three bags contain balls as shown in the table below :

A bag is chosen at random and two balls are drawn from it. They happen to be white and red. What is the from it. They happen to be white and red. What is the probability that they come from the III bag ?

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The correct Answer is:

(i) `(231)/(551)` (ii) `(5)/(17)`.

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