A shopkeeper sells three types of flower seeds A1, A2 and A3.

A shopkeeper sells three types of flower seeds A1, A2 and A3. They are sold as a mixture where the proportions are 4:4:2 respectively. The germination rates of the three types of seeds are 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 A3,

(iii) that it is of the type A2 given that a randomly chosen seed does not germinate.