Probability of a number of failures from one of two binomial sources and the conditional probability of the source

A garden centre buys packets of seeds from two growers, Q and R. Of the packets in stock, \(60\%\) come from grower Q and \(40\%\) from grower R. Each seed from grower Q fails to germinate with probability \(0.15\), and each seed from grower R fails to germinate with probability \(0.08\), independently of the other seeds. Every packet contains \(12\) seeds.

A packet is chosen at random from the stock and all of its seeds are planted.

1. Find the probability that exactly \(3\) of the seeds fail to germinate.[4]
2. Exactly \(3\) of the seeds fail to germinate. Find the probability that the packet came from grower Q.[3]