Pulling balls out of a bin
Suppose we have a bin that has 6 balls in it. Five of the balls are blue and one of the balls is red. We pull a ball out, one at a time, and check to see if we've pulled out the red ball. If we have, we stop, otherwise, we put the ball back into the bin and try again. What is the probability that we get the red ball after an odd number of tries?
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