Question 1196063
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A child has three bags of fruits in which 
Bag 1 has 5 apples and 3 oranges, Bag 2 has 4 apples and 5 oranges and Bag 3 has 2 apples and 3 oranges. 
One fruit is drawn at random from one of the bags. It was an apple. 
Please calculate the probability that the chosen fruit was apple and was drawn from Bag 3.
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<pre>
Total fruit in 3 bags  was (5+3) + (4+5) + (2+3) = 22.

Total apples in 3 bags was  5 + 4 + 2 = 11.


The probability that the drawn fruit was an apple is  {{{11/22}}} = {{{1/2}}} = 0.5 = 50%.    <U>ANSWER</U>


If it is given that the drawn fruit is an apple, 
then the probability that the drawn apple came from bag 3 is  {{{2/11}}}.     <U>ANSWER</U>
</pre>

Solved.