Problem 3 (A few random flips) Consider four fair coins, each of which has a 50% chance of landing heads or tails. Give all probabilities as a decimal number between 0 and 1 to three decimal places.

A. You flip all these coins one time - what is the probability that exactly two come up tails, and two come up heads?

B.) If you were to flip all these coins a second time, what is the probability that every one of the coins comes up on the opposite side as in the first flip (i.e. all the ones that came up heads on the first flip come up tails, and all the ones that came up tails now come up heads)?

C.) If you were to flip all these coins a second time, what is the chance that none of the coins come up on the opposite side as in the first flip (i.e. all the ones that came up heads on the first flip come up heads again, and all the ones that came up tails come up tails again)?