Three men are seated along a straight line all looking in the same direction such that the man in the back can see the other two, the man in the middle can only see the one in the front, and the man in the front can’t see either of the other two men.

All three men are blindfolded. The men are told that each will get a hat from a bin which contains 5 hats total, 3 white and 2 black in color.

Next, 3 hats are arbitrarily drawn out of the bin and placed on the men’s heads. The blindfolds are then removed and each man is asked to figure out the color of his hat.

The man at the back says:“I do not know which color hat I am wearing.”

Next, the man in the middle who heard this response says the same thing.

The man in the front who heard both responses says:“I know which color hat I am wearing!”

Which color hat is the man in the front wearing and how did he determine it?