Question: As a prank, your roommate removed all the labels from all the cans in your pantry and shuffled them around. Now you have no idea

As a prank, your roommate removed all the labels from all the cans in your pantry and shuffled them around. Now you have no idea what is in a can when you get ready to cook dinner! You know i hat you have 8 cans of corn and 5 cans of beans. You don'1 want to waste any of the cans, so the best thing to do is to randomly open 2 cans every night and just eat whatever is in those cans.
a. What is the probability that on the first night you get one of each type of can?
b. If you got one of each type of can on the first night, what is the probability you got one of each type of can on the second night?
c. Are these probabilities in parts a and b the same? Should they be? Why or why not?

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