### Brain Teasers

# Mixed up Addresses

Probability
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

Duke Maverick worked for a packaging company. One day, Duke received four separate orders and accidentally mixed up the addresses, so he applied the address labels at random. What is the probability that exactly three packages were correctly labelled?

### Answer

The probability is zero. If three packages are correctly labelled, so is the fourth.Hide Answer Show Answer

## What Next?

**Solve a Similar Brain Teaser...**

Or, get a random brain teaser.

If you become a registered user you can vote on this brain teaser, keep track of

which ones you have seen, and even make your own.

## Comments

umm... ok... but then what is the probability of that... since u were asking for one?

it is not impossible, you answer that in your answer.

For 3 to be correct, obviously all four need to be correct, and what is the possablity of that. so therefore it is not Zero, because no matter how slight the chance of getting all four correct (to allow the three in question to be correct) it is not Zero as stated. blaze strikes again (and misses)

For 3 to be correct, obviously all four need to be correct, and what is the possablity of that. so therefore it is not Zero, because no matter how slight the chance of getting all four correct (to allow the three in question to be correct) it is not Zero as stated. blaze strikes again (and misses)

You are too funny mad-ade.

1/24 I think, but I'm not sure

By the way, if you are trying to TRICK people, thats clever, trick them by putting it in Probability rather than TRICK!

Cath, he DID put it in probability. And about your dogs puzzle...when did they become bears? (look at one of your comments on that one.)

Blaze is right Mad-ade, the question asks what's the probability of EXACTLY 3 being correctly labelled. If all 4 are, that's not exactly 3 is it?

Exactly 3 are there labeled correctly- and so is the fourth for that matter. Mad Ade is correct.

I was just looking at this again and see my guess of 1/24 is wrong.I spent a bit longer thinking about it, is the answer 1/6? If you take the first one and its definitely wrong, you have 1/3 in getting it in the right place. Then the second one only has 1/2 and the other two have to be swaped so they are certainties if you get the first two right?

I'm with madman, andy and blaze on this. The question asks for the probability of "exactly three" being correct. If three are correct then so is the fourth meaning that there can never be "exactly three" that are correct, there are more than three correct. The wording of this question is important, which seems to have been overlooked by some people.

I liked the puzzle Blaze and I speak English so I know what "Exactly 3" means.

none, zip, nuttin, zee-row, NADA, as in "nada chance"

Good one. It does say "exactly 3", not at least 3.

the probability is not ZERO so your answer is wrong. but i like your puzzle, i really didnt realize that 3 the same then the fourth also must be the same.. good teaser

the answer is right as it asks for "EXACTLY 3" being correct which is not possible. Because if there are 3 correct,then so is the 4th one making it MORE THAN 3 CORRECT rather than EXACTLY 3 CORRECT

Math Vocab for the win

Well, if a packaging company hires a guy who is happy to put on labels randomly, there's a pretty good chance that one of the address labels was written incorrectly, so....it is possible that there will be exactly 3 correct.

## Follow Braingle!