900 red eggs
100 blue eggs
100 red eggs
900 blue eggs
You are given one of these two bags (50/50 chance) randomly.
You perform a set of trials where you take out one egg randomly from your bag, note the color, then put it back in, and repeat.
You drew 8 red eggs and 2 blue eggs from your bag during this trial. What is the probabilty (%) that you have Bag #1?
I thought it was 50% because you could have drawn 8 red and 2 blue from bag #2 as well, since drawing eggs and putting them back does not change the bag's contents...