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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,246

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!

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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)

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,651

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

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,290

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.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,246

Found it out. It's 1/46656, found it in Yahoo! Answers.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,290

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.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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