PROBLEM 2. Alice places 10 coins in a box: 9 of the coins are normal (with heads and tails on each side), and the remaining coin is doubleheaded (with heads on both sides). Bob chooses a coin from the box uniformly at random and tosses it 5 times. (a) Find the probability that all of the 5 tosses land in heads. (b) Suppose that all of the 5 tosses land in heads. If Bob tosses the coin one more time, what is the probability that he gets heads on the 6-th toss as well