Apples are sold in cartons of 25. David bought home 2 cartons an found 3 rotten apples in the first carton. There were thrice as many rotten apples in the second carton.
1. Find the probability of randomly selecting a good apple from carton 2.
2. If 2 apples are randomly selected from carton 1, find the probability that both are good.
3. Suppose that both cartons are covered up, and you're given the following options,
Option 1: randomly choose a box and then choose 2 apples from that box.
Option 2: randomly choose 1 apple from each box
Which option will you take in order to increase your chances of getting 2 good apples? Validate your choice.