Test your math ability

This is a discussion on Test your math ability within the A Brief History of Cprogramming.com forums, part of the Community Boards category; I have one simple question for you guys to answer: Five hats are randomly distributed to the five people who ...

1. Test 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

2. 1 in 25.

What is the chance that was a homework queston?

3. 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?

4. 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?
That's my answer also, I believe it to be correct.

5. 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.

6. That would just be a 5^2 one I believe...so 1 in 25 (as stated before )

7. 1 in 3125

8. 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.
oh yeah... forgot about that. see what school does to you?

9. 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)!)]

10. >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

11. Another for 1/120

12. I envy the one with the red hat

13. 1/120

14. i get 1/120 also..

I envy the one with the red hat
hahahahaha

15. 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...

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