Probability dices

[Diederick]

Hi,
I need to calculate the chance of that two dices together have the same number as three dices together.
The two dices are called dice red and dice orange. The three dices all called dice yellow, purple and blue.

 

[MarkFL]

Hello, and welcome to FMH!

I would likely just list all the possibilities:

(1,2), (2,1) - (1,1,1) : 2 ways
(1,3), (2,2), (3,1) - (1,1,2), (1,2,1), (2,1,1): 9 ways
(1,4), (2,3), (3,2), (4,1) - (1,1,3), (1,3,1), (3,1,1), (2,2,1), (2,1,2), (1,2,2) - 24 ways

Can you continue?

 

[pka]

I need to calculate the chance of that two dices together have the same number as three dices together. The two dices are called dice red and dice orange. The three dices all called dice yellow, purple and blue.

I am not at all sure that I understand your question.
Look at the expansion of \((x+x^2+x^3+x^4+x^5+x^6)^2\) in this link .
The exponent of \(x\) tell us the sum of two dice and the coefficient tells us the number of ways to get that sum.
For example: the term \(5x^8\) tells that there are five ways to get the sum eight tossing two dice.
Now look at this link. That does the same thing for tossing three dice.

If your question means something else please post a correction.

 

[firemath]

Hi,
I need to calculate the chance of that two dices together have the same number as three dices together.
The two dices are called dice red and dice orange. The three dices all called dice yellow, purple and blue.

So by "the same number," do you mean "the faces that are oriented up add up to the same number on both sets of dice?"