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Little Mathmatics

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Tatsujin:
You have ten marbles. They are numbered from 1 to 10. You can't distinguish between those marbles at all with any of your senses, including your sixth sense - of course with the exception of your eyes. Those ten marbles were put in a bag. You were given a task to pull out the marbles numbered from 1 to 10 with your eyes closed. The question is - what are the chances of you pulling those marbles from 1 to 10 numerically in order without a single mistake? You can answer by percentage or by the odds.

billlanam:
One chance in 10! (! is factorial). very easy, why ask?

Tatsujin:

--- Quote from: billlanam on December 06, 2011, 07:04:32 AM ---One chance in 10! (! is factorial). very easy, why ask?

--- End quote ---
Suppose you get the first numbered marble as 2, that's your first wrong. Suppose you do that for the next 8 numbers (I've excluded 1), that's 9 wrongs in total. Now, you picked up the first marble and it's 1. The next marble is not 2 but any other number. Now do that for 3, 4, 5 and so on.

Soryon:
Yea, he didnt mean 1 in 10, he meant 1 in 10!
1x2x3x4x5x6x7x8x9x1 0
1:3628800

RoflLolly:
The other two are right :P
You have a chance of 1/10 to pull the first marble, then a 1/9 chance to pull the second, a 1/8 to pull the third, ....
In the end you have to multiply all factors and get 1/10*9*8*...*2*1 = 1/10! = 1/3628800  or  0.000000276%

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