Little Mathmatics

[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]

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

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
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%

[kureshii]

Wait, when did the lounge turn into #elementarymathematics?

Also, idgi. Is matchmatics supposed to be a pun or something?

[Unfair]

(1/10)*(1/9)*(1/8)*(1/7)*(1/6)*(1/5)*(1/4)*(1/3)*(1/2)*(1/1)=1/(10!)=1/3 628 800≈2.755731922*10^-7≈0.000000276

and, for percentage. Take times 100.
soo...
answer:
1:3 628 800
or
≈0.0000276%

[RoflLolly]

(1/10)*(1/9)*(1/8)*(1/7)*(1/6)*(1/5)*(1/4)*(1/3)*(1/2)*(1/1)=1/(10!)=1/3 628 800≈2.755731922*10^-7≈0.000000276

and, for percents. Take times 100.
soo...
answer:
1:3 628 800
or
≈0.0000276%

Oh, my bad ... Please don't tell my old mathteacher   

[Tatsujin]

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

Thanks.

The other two are right
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%

Nice, thanks.

There is no homework involved in this. I was just wondering about this in my head. We have supposedly about 200 billion stars in one universe if I'm correct? Or is it more?

[Soryon]

There is no homework involved in this. I was just wondering about this in my head. We have supposedly about 200 billion stars in one universe if I'm correct? Or is it more?

Not by a long shot, but that is likely a pretty conservative estimate for the number of stars in our own one galaxy, the Milky Way, to which we have more galaxies in the universe then our galaxy has stars.

Also- Why was I suddenly reminded of the Drake Equation when you asked that =p
Perhaps because you were asking the odds for the perfect conditions.

[Ixarku]

There is no homework involved in this. I was just wondering about this in my head. We have supposedly about 200 billion stars in one universe if I'm correct? Or is it more?

I've seen a few different numbers, but this source puts the number at at least 100 billion galaxies in the observable universe.

[fohfoh]

I used the word factorial looking at some super basic IRL scenario and everyone gave me one of those, "You're a fucking idiot" looks and scoffs...

._.

This was maybe 2 weeks ago at most.

[Saras]

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

Thanks.

The other two are right
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%

Nice, thanks.

There is no homework involved in this. I was just wondering about this in my head. We have supposedly about 200 billion stars in one universe if I'm correct? Or is it more?

The observable universe contains about 3 to 100 × 1022 stars (30 sextillion to a septillion stars), organized in more than 80 billion galaxies, which themselves form clusters and superclusters.

[metro.]

In short, your life matters very little in comparison. So does mine.

Let's all get depressed now.

[Tatsujin]

There is no homework involved in this. I was just wondering about this in my head. We have supposedly about 200 billion stars in one universe if I'm correct? Or is it more?

Not by a long shot, but that is likely a pretty conservative estimate for the number of stars in our own one galaxy, the Milky Way, to which we have more galaxies in the universe then our galaxy has stars.

Also- Why was I suddenly reminded of the Drake Equation when you asked that =p
Perhaps because you were asking the odds for the perfect conditions.

You're getting there.

@ Saras - Thanks. And holy crap at this image. That makes more sense.

[hanayome]

And holy crap at this image.

That made me lol. How miniscule foolish humans are XD. Getting so conceited.