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A shopkepper sells three types of flower...

A shopkepper sells three types of flower seeds `A_(1),A_(2) and A_(3)`. They are sold as mixture, where the proportion are 4 : 4 : 2, respectively. The germination rates of the three types of seeds 45%, 60% and 35%. Calculate the probability
(i) of a randomly chosen seed to germinate.
(ii) that it will not germinate given that the seed is of type `A_(3)`.
(iii) that it is of the type `A_(2)` given that a randomly chosen seed does bot germinate

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