Suppose that you are in group A, there is a 4/5 chance that you have a chance to win the lottery.
Suppose that you are not group A then there is a 1/20 chance that you have a chance to win the lottery.
There is a 1/10 chance that a random student is in group A.
You run into a random student from group who won lottary. What is the probability that this random student is a group A?
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