A box of nine gloves contains two left-handed gloves and seven right-handed gloves.
a. If two gloves are randomly selected from the box, without replacement (the first glove is not returned to the box after it is selected), what is the probability that both gloves selected will be right-handed?
b. If two gloves are randomly selected from the box, without replacement (the first glove is not returned to the box after it is selected), what is the probability that there will be one right-handed glove and one left-handed glove selected?
c. If three gloves are selected, with replacement (the gloves are returned to the box after they are selected), what is the probability that all three will be left-handed?
d. If you were sampling with replacement (the first glove is returned to the box after it is selected), what would be the answers to (a) and (b)?