Question

1. Suppose you have 3 bags containing only apples and oranges. Bag A has 2 apples...

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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