Problem 8. A hat contains two coins. Coin #1 has P(heads) = 1/4. Coin #2 has P(heads) = 3/4. A coin is selected at random from the hat and tossed 4 times. (The same coin is tossed four times.) (a) If all 4 tosses are heads, what is the probability that coin #2 has been selected? (b) If the rst 3 tosses are heads, What is the probability that the last toss Will be heads