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

mathaholic
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From: Juliania
Registered: 2012-11-29
Posts: 2,870
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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!


"What is the square root of 2? 1.4141592653589793238" Seriously, I thought it was that. Too round?
3.141592653589793238...

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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: 17,947
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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'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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

bob bundy
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Registered: 2010-06-20
Posts: 6,466

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: 2,870
Website

Re: Farkle problem (Probability)

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

smile


"What is the square root of 2? 1.4141592653589793238" Seriously, I thought it was that. Too round?
3.141592653589793238...

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

mathaholic
Member
From: Juliania
Registered: 2012-11-29
Posts: 2,870
Website

Re: Farkle problem (Probability)

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


"What is the square root of 2? 1.4141592653589793238" Seriously, I thought it was that. Too round?
3.141592653589793238...

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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