Question 1196063
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Edit: Corrected an earlier mistake. 


Bag 1 has 5 apples and 3 oranges
Bag 2 has 4 apples and 5 oranges
Bag 3 has 2 apples and 3 oranges


We're given this info:
One fruit is drawn at random from one of the bags. <b><u>It was an apple.</u></b>
So we know 100% that the fruit was an apple. The only thing to figure out is the probability it came from bag 3.


There are 
5 apples in bag 1
4 apples in bag 2
2 apples in bag 3
That's 5+4+2 = 11 apples total


This is our sample space. It's our entire universe because we know 100% we picked an apple. So we ignore the oranges entirely.


Of the 11 apples in the universal set, 2 are from bag 3


Answer: 2/11
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