The most improbable thing you've ever seen?

[dietpunk]

Two meteors colliding.

[Scotty.]

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Friend of mine got 3 birdies in a row on Saturday. All very tough narrow water holes. Two par 4s and one 5. Never played with someone who has done that.

Then he tripled the super easy par 3. LAWL

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I've gone -6 over the first 5 holes of my course before (4 birdies, 1 eagle) though they aren't necessarily that tough of holes. I shot 34 on the front [img]/images/graemlins/frown.gif[/img]

[Lazy Meatball]

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No, on a 2d Sodoku, you can't repeat the same number in any square as well as in any row or column. So I would assume that a 3d cube sodoku can not repeat the same number in any band that goes all the way around the cube. So clearly in your pic, there are more than one 1's in the top row, travelling all the way around the cube, thus it is unsolved.

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12 squares in a band around the cube....9 numbers...hmmmmm.....

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Whoopsies, I'm wrong

[Borodog]

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It should be noted that you didn't actually randomly "solve" the cube, but rather your pattern-seeking brain noticed it was one permutation away from being solved. Therefore, to calculate the probability of the event, you need to consider the set of all configurations no more than one permutation away from every "solved" state, which includes the number of solved states as a subset.

I haven't done the calculation, but maybe this expands the set of all relevant configurations enough to make the event not as improbable as you first thought.

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It expands it by a factor of 27, since there are only 27 possible rotations from any state.

[durkahdurkah]

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I was once playing darts, I'm a mediocre dart player at best, and I had just lost the game and sat down at our nearby table for a beer. Right after taking a long swig out of my bottle, I declared for no particular reason, "wanna see arrogance?", and threw the dart underhanded, while sitting, at the board. It hit the middle dot, in the middle bullseye.

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I have a darts one too. I'm an alright dart player, I can hold my own, but it's not like I'll be going pro ever. Anyway, we're drinking and smoking some buds at one of my friends houses, we decide to go to his garage to play some darts. He challlenges me to a game for $10. I accept, because I don't really care about $10. He wants to play cricket. I'm ok with this.

I proceed to run a perfect board on him (i.e. closing out the entire game with 8 darts, triple 20, 19, 18, 17, 16, 15, double bull, double bull to close and get 25 pts.), not in order (went 15, 19, 17, 16, 20, 18, DB, DB).

I've never been able to come close to this again.

[RacersEdge]

A classic but still unreal:

feathers

[gumpzilla]

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It expands it by a factor of 27, since there are only 27 possible rotations from any state.

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Considering you had two opposite faces solved, it seems to me there are either 4 or 6 rotations available to you (depending on whether or not the center row of the cube can freely rotate, as opposed to effectively rotating it by moving the exterior rows).

[z28dreams]

This isn't exactly what you are looking for, but interesting none the less.

Suppose you have about 40 people in your typical classroom. What are the odds that at least 2 people have the same birthday?

Answer in white: <font color="white">Almost 90%. Check wikipedia for 'birthday paradox' to see an explanation</font>

[wtfsvi]

How does the cube being in your house equal zero probability of anyone else touching it?

[captain2man]

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I just picked a number between 1 and 100.000.000 I picked 24.523.039 Pretty unlikely huh?

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I was just asked to pick any real number.

I chose pi.

The chances of that is 1 out of the 2nd order of infinity.