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#1 2012-12-22 19:31:08

mathaholic
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From: Juliania
Registered: 2012-11-29
Posts: 2,803
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Farkle problem (Probability)

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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#2 2012-12-22 20:08:17

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 14,229
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Re: Farkle problem (Probability)

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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#3 2012-12-22 21:13:15

bob bundy
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Registered: 2010-06-20
Posts: 6,092

Re: Farkle problem (Probability)

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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#4 2012-12-22 21:27:58

mathaholic
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From: Juliania
Registered: 2012-11-29
Posts: 2,803
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Re: Farkle problem (Probability)

Agnishom, when all dices face a 6, not only 2.

smile


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

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#5 2012-12-22 21:59:10

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 81,468

Re: Farkle problem (Probability)

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#6 2012-12-25 12:52:50

mathaholic
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From: Juliania
Registered: 2012-11-29
Posts: 2,803
Website

Re: Farkle problem (Probability)

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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#7 2012-12-25 20:31:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,468

Re: Farkle problem (Probability)

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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