A bag contains two counters with each independently equally likely to be either black or white. What

Question:

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?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...