Saturday, March 10, 2018
Mismatched Letters
Soon after her wedding, a young bride hand-writes 100 thank you letters to all of her recent wedding guests and addresses 100 matching envelopes. Being in a hurry to get them in the mail, her new husband randomly stuffs the letters into envelopes and mails them out. What is the probability that exactly 99 of the letters made it into the right envelope?
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Haha, very clever. I didn't make that observation, so I tried using the multiplication rule of probability: P(A) and P(B)= P(A)*P(B). Which gave me (1/100)^99. Although the solution shows that isn't the answer. This is one particular case of why probability can be hard to check validity at least for beginners like me.
Can you please confirm that each letter is addressed to a specific person and unique. I'm assuming that's the case. Hubby needs the confirmation. lol
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if 99 are correct, the 100th is as well because it has no “incorrect envelope” left available.
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