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# What is P of two fair dice so that sum of both dice thrown

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Senior Manager
Joined: 31 Jul 2006
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What is P of two fair dice so that sum of both dice thrown [#permalink]  01 Sep 2006, 15:20
What is P of two fair dice so that sum of both dice thrown is 6

How do I use permutations formula to find numerator?

I know that P of 1 dice throw is 1/6 so two dice = 1/36, but I am having trouble with translating finding numerator into a useful generic formula.
Senior Manager
Joined: 14 Aug 2006
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The total outcomes = 36

for the total to be 6, the outcomes need to be one of the following:
1,5
2,4
3,3
4,2
5,1

so the probability of getting a total of 6 is 5/36
Senior Manager
Joined: 31 Jul 2006
Posts: 440
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gk3.14 wrote:
The total outcomes = 36

for the total to be 6, the outcomes need to be one of the following:
1,5
2,4
3,3
4,2
5,1

so the probability of getting a total of 6 is 5/36

So is that the only way to find the probability? Without formula? What if i have 500 dices and I want to see probability that sum is 140

thx!
CEO
Joined: 20 Nov 2005
Posts: 2910
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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Nsentra wrote:
gk3.14 wrote:
The total outcomes = 36

for the total to be 6, the outcomes need to be one of the following:
1,5
2,4
3,3
4,2
5,1

so the probability of getting a total of 6 is 5/36

So is that the only way to find the probability? Without formula? What if i have 500 dices and I want to see probability that sum is 140

thx!

Probability is not about formulae, its all logic. If you encounter such question (500 dice) then guess and move on in 5 seconds. But its highly unlikely (almost 0 probability) that you, or anyone, will get a question involving more than 3 dice.
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Current Student
Joined: 29 Jan 2005
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ps_dahiya wrote:
Nsentra wrote:
gk3.14 wrote:
The total outcomes = 36

for the total to be 6, the outcomes need to be one of the following:
1,5
2,4
3,3
4,2
5,1

so the probability of getting a total of 6 is 5/36

So is that the only way to find the probability? Without formula? What if i have 500 dices and I want to see probability that sum is 140

thx!

Probability is not about formulae, its all logic. If you encounter such question (500 dice) then guess and move on in 5 seconds. But its highly unlikely (almost 0 probability) that you, or anyone, will get a question involving more than 3 dice.

Point noted
Senior Manager
Joined: 31 Jul 2006
Posts: 440
Followers: 3

Kudos [?]: 16 [0], given: 0

ps_dahiya wrote:
Nsentra wrote:
gk3.14 wrote:
The total outcomes = 36

for the total to be 6, the outcomes need to be one of the following:
1,5
2,4
3,3
4,2
5,1

so the probability of getting a total of 6 is 5/36

So is that the only way to find the probability? Without formula? What if i have 500 dices and I want to see probability that sum is 140

thx!

Probability is not about formulae, its all logic. If you encounter such question (500 dice) then guess and move on in 5 seconds. But its highly unlikely (almost 0 probability) that you, or anyone, will get a question involving more than 3 dice.

thanks! damn that logic, come test day I won't be able to tell left from right.
Senior Manager
Joined: 27 Jul 2006
Posts: 298
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IF you forget Left from Right, just hold up both of your hands with index fingers and thumbs extended. The one that looks like an L will be on your left.

I still have to do this at times...the problem is that I also have dyslexia.
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