Question: A bag contains two counters with each independently equally likely to be either black or white. What is the distribution of X, the number of

A bag contains two counters with each independently equally likely to be either black or white. What is the of X, the number of white counters in the bag? Suppose that a white counter is added to the bag and then one of the three counters is selected at random and taken out of the bag. What is the of X conditional on the counter taken out being white? What if the counter taken out of the bag is black?

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