Henry has 10 pants: 4 dress slacks and 6 jeans. In a hurry while getting ready for a trip, he asks his kids to throw 3 pants in a suitcase for him without specifying which kind of pants he needs.
a. What is the probability the kids correctly throw in 2 pairs of dress slacks and 1 pair of jeans?
b. What is the probability the kids throw in 2 pairs of jeans and 1 pair of dress slacks?
c. Are the probabilities in parts a and b the same? Do they add up to 1? Should they add up to 1? Why or why not?