PROBABILITY PROBLEM: Can anyone check my answers for this?
Wayne has 1 ten-dollar bill, 2 five-dollar bills, and 5 one-dollar bills in his wallet.
a) Wayne randomly chooses a bill from his wallet, puts it back, then picks another bill, and puts that one back, too. What is the probability that both were five-dollar bills?
Would the answer for this be 4/16 or 1/4?
b) Wayne randomly pulls out a bill from his wallet, and then, without putting it back, randomly pulls a second bill from his wallet. He then puts both bills back into the wallet. What is the probability that both of the bills pulled out were five-dollar bills?
Would the answer for this be 2/8*1/7 = 1/28?
If I'm wrong please correct me!