Suppose Michael has 3 pairs of tighty whiteys, 4 pairs of boxer-briefs, and 5 pairs of boxers in his underwear drawer. a) If Michael picks a pair of underwear from his drawer at random, what is the probability that he draws boxers?

b) If Michael picks a pair of underwear from his drawer at random, wears it for a day, puts it in the laundry, and then picks a new pair at random the next day, what is the probability of him wearing boxers twice in a row?

c) What if he does the same thing, but he chucks the same pair of underwear right back into the drawer after day 1 instead of in the laundry (gross). What is the new probability of Michael wearing boxers twice in a row?

d) Suppose Michael picks a pair at random one morning, and later in the day someone sees his underwear. What is the probability that he is NOT wearing the most embarrassing thing (tighty whiteys)?

e) What is the probability that if Michael grabs underwear at random from the drawer, that he gets either tighty-whiteys or boxer-briefs?

f) Now, Michael is going on a 4-day vacation, and reaches in and grabs 4 pairs of underwear at random. What is the probability that at least one of those pairs is boxers?