Alice is deciding where to go on her next trip. She is reviewing some information packets. She has packets advertising European trips numbered 1,2,3, packets advertising African trips numbered 1,2,3,4,5,6, and packets advertising South American trips numbered 1,2. If a single packet is picked at random, what is the probability that the packet is advertising a South American trip AND has an odd number?
Provide the final answer as a fraction.