Percentage Of Rolling A Six On A Die 3 Times In A Row?

[Zacs-Master]

Question Details Here

[waterboatman]

Chris I bow to you my friend. But this engineer is a stubborn Irishman. ;-)

[fiction-factory]

List all the possible outcomes:
1) 1,1,1
2) 1,1,2,
3) 1,1, 3
.
.
.
211) 6,6,1
212) 6,6, 2
213) 6,6,3
214) 6,6,4
215) 6, 6, 5
216) 6,6,6

[fiction-factory]

Sorry WBM- I now realise you are pulling our legs

[Buenchico]

Boaty:

Here's an analogy:

If you're asked what the probability of Chelsea's captain winning the toss at the start of a Premier League game is, the answer is clearly 1/2. It doesn't matter which game of the season it is and it doesn't matter whether or not he won the toss in previous games. However if you're asked what the probability of him winning the toss for EVERY single game for an entire season of 38 games will be, the answer clearly isn't 1/2, as it's obviously extremely unlikely. (It's actually 1/2 raised to the power 38).

The question asked by Zac is similar, in that the probability for a single event (1/6) needs to be raised to the power 3 to obtain the probability of the same outcome occurring three times in a row.

[Buenchico]

>>> Sorry WBM- I now realise you are pulling our legs

I doubt it, F-F. I just reckon that he's one of my former pupils ;-)

[waterboatman]

Well spotted FF. ;-)

[Gizmonster]

Try it Boaty.
Try rolling 3 consecutive sixes .... I think you'll find the odds are not 1 in 6, but 1 in 216 as already said.
Think about it logically .... the odds of rolling a 6 are 1 in 6 yea??
So are you saying the odds of rolling 3 dice and them all coming up 6, are the same - it just doesn't make sense !!

[waterboatman]

Chris if you were my maths teacher, I was the one that gave you the headache my friend. ;-)

[DTCwordfan]

1 in 216 Guinnesses......I'm going to be pishhed.

[Buenchico]

https://s-media-cache-ak0.pinimg.com/564x/f9/37/b5/f937b5972425107c1e869f56d66ae28e.jpg

;-)

[jim360]

The odds of rolling a 6 are one in two, actually. You do or you don't, so that's 50-50.

[Prudie]

I reckon it's Zacs pulling our leg, he knows these sort of questions always cause a riot, especially if it includes the word percentages. Definitely 1/216 chances.

[waterboatman]

Giz, read Fed's post at 21.27. ;-)

[DTCwordfan]

there speaks the Prof of Maths in Pyongyang.....no wonder the folk in Seoul are worried.

[waterboatman]

That's a new slant Jim I like it! :-)

[Gizmonster]

//// Giz, read Fed's post at 21.27. ;-) /////

Yea ..... I saw it after I posted lol :(

[zebo]

(1/6)^3, it's (1/6)^n where n is the number of throws.

[waterboatman]

Of course it's 1 in 126. I'm just on a wind up. Sorry. ;-)

[waterboatman]

Oi've the divil in me this evening, so I have. ;-)

[Zacs-Master]

Jesus. I just wanted a simple answer.