A box contains two fair coins, two coins that are weighted so that the probability of heads is .75 and the probability of tails is .25, and one trick coin which has tails on both sides.  Let X be the random variable that represents the number of heads when every coin in the box is flipped. What is the probability distribution of X? (Hint: you can try counting all the outcomes, or you can remember that coin flips are independent of each other.)

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