I have one simple question for you guys to answer:

Five hats are randomly distributed to the five people who own them. What is the probability that all the poeple receive the correct hat?

Good Luck

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- 08-20-2002UnregisteredTest your math ability
I have one simple question for you guys to answer:

Five hats are randomly distributed to the five people who own them. What is the probability that all the poeple receive the correct hat?

Good Luck - 08-20-2002Sentaku senshi
1 in 25.

What is the chance that was a homework queston? - 08-20-2002ygfperson
1/5! = 1 in 120

a person takes a hat. s/he has a 1 in 5 chance. if the choice is correct, the next person has a 1 in 4 chance, then a 1 in 3 chance ,and so on.

i'm sure i'm wrong... am i? - 08-20-2002MrWizardQuote:

*Originally posted by ygfperson*

**1/5! = 1 in 120**

a person takes a hat. s/he has a 1 in 5 chance. if the choice is correct, the next person has a 1 in 4 chance, then a 1 in 3 chance ,and so on.

i'm sure i'm wrong... am i?

- 08-20-2002Sentaku senshi
Each person has a 1 in 5 chance of getting the correct hat. YGF your method would have worked if the queston said that No more hats would be given out once someone got the wrong hat. But everyone gets a hat no mater what.

- 08-20-2002dirkduck
That would just be a 5^2 one I believe...so 1 in 25 (as stated before ;))

- 08-20-2002moi
1 in 3125

- 08-20-2002ygfpersonQuote:

*Originally posted by Sentaku senshi*

**Each person has a 1 in 5 chance of getting the correct hat. YGF your method would have worked if the queston said that No more hats would be given out once someone got the wrong hat. But everyone gets a hat no mater what.**

- 08-20-2002Aran
the law of permutations is in effect here.. i believe it states that (n)/((n-k)!) is the answer (where k is accepted and n are the total number of outcomes)

[it's either (n)/((n-k)!) or (n!)/((n-k)!)] - 08-20-2002Prelude
>Five hats are randomly distributed to the five people who own them.

According to your wording, all five people own all five hats, so the probability is 1 in 1.

-Prelude - 08-20-2002darkeldar77
Another for 1/120

- 08-20-2002Brian
I envy the one with the red hat

- 08-20-2002Terrance
1/120

:o - 08-20-2002DavidP
i get 1/120 also..

Quote:

I envy the one with the red hat

- 08-20-2002Jet_Master
I very much believe it is a 1 in 25 chance...

because each hat has a chance of landing on one of five people (that is a 1 in 5 chance). but when there are five hats, the chances are multiplied by another 1 in 5 chance. therefore:

1/5 * 1/5 = 1/25.

therefore there is a 1 in 25 chance everyone will get the right hat...