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Question: given two bags of balls the first bag has 6...

Question details
 

Given two bags of balls. The first bag has 6 red balls and 2 green balls. The second bag has 8 red balls and 2 green balls. 

Suppose we randomly pick a bag with equal probability and then randomly select a ball from that bag. If the ball is green what is the probability that the second bag was selected?

Leave your answer as a value between 0 and 1 with up to 2 decimal places of precision (such as 0.25). 

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