Suppose a cooler is full soda covered with ice. There are 5 cans of root beer, 3 cans of orange, and 2 cans of grape. (a) If two cans are selected without replacement, find the probability of selecting 2 root beer. (b) If two cans are selected with replacement, find the probability of selecting 2 orange. Suppose a survey of 20 students was taken as they walked out of the cafeteria with regards to their age. The results are listed in the table: Older than 30 30 or younger Male 3 9 Female 2 6 Suppose one person surveyed is selected at random. Find the probability that: (a) A male and someone older than 30 was selected (b) A female or someone 30 or younger was selected (c) Someone older than 30 was selected, given they were female.