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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
- Posts: 2,842
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If you were going to roll 6 dice, what is the probability of getting an all-6?

I am thinking of it as 1/36 chance, but I don't know how to get the chance.

I am just a third grade student in the Philippines, and our mathematics teacher did not discuss us the concept of probability.

Please help me!

"Double the fun, double the thrill, double the coolness" - Julianthewiki

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There are six faces in one die.

Therefore, the chance of any of them occuring once is 1/6

Now, suppose there are two dice with 6 faces each

Now there can be 36 ways of the outcome

E.g, (1,1) (1,2) ... (2,1) (2,2) (2,3) .... (6,5) (6,6)

Therefore the chance of getting two sixes is 1/36

You can also get it by multiplying (1/6)*(1/6)

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,340

For six dice it will be

You work out the probability of each event (1/6) and, if they are independent, mutliply the porbabilities.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
- Posts: 2,842
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Agnishom, when all dices face a 6, not only 2.

"Double the fun, double the thrill, double the coolness" - Julianthewiki

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,406

Hi julianthemath;

He was showing you how you can reason about it for six by showing two.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
- Posts: 2,842
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Found it out. It's 1/46656, found it in Yahoo! Answers.

"Double the fun, double the thrill, double the coolness" - Julianthewiki

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,406

Hi julianthemath;

You can not always trust yahoo answers. In this case they were right but the question was already answered up above and by more reliable people.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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