1. Suppose you have 3 bags containing only apples and oranges. Bag A has 2 apples and 4 oranges, bag B has 8 apples and 4 oranges, and bag C has 1 apple and 3 oranges. You pick 1 fruit (at random) from each bag.
a) What is the probability that you picked exactly 2 apples?
b) Suppose you picked 2 apples but forgot which bag they came from. What is the probability that you picked an apple from bag A?
Can you also explain your reasoning behind it.
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