Two six-sided dice are rolled (one red and one green). Some possibilities are (Red=1,Green=5) or (Red=2,Green=2) etc.
(a) How many total possibilities are there?

For the rest of the questions, we will assume that the dice are fair and that all of the possibilities in (a) are equally likely.
(b) What is the probability that the sum on the two dice comes out to be 9?

(c) What is the probability that the sum on the two dice comes out to be 12?

(d) What is the probability that the numbers on the two dice are equal?

Question

Two six-sided dice are rolled (one red and one green). Some possibilities are (Red=1,Green=5) or (Red=2,Green=2) etc.
(a) How many total possibilities are there?

For the rest of the questions, we will assume that the dice are fair and that all of the possibilities in (a) are equally likely.
(b) What is the probability that the sum on the two dice comes out to be 9?

(c) What is the probability that the sum on the two dice comes out to be 12?

(d) What is the probability that the numbers on the two dice are equal?

mathmale · Answer

We're throwing two dice at the same time.  Does the throw of one die affect the throw of the other die?  Throwing either die first could produce any of 6 possible outcomes, all of which are equally likely  because the dice are fair.  Throwing the other die also produces any of 6 possible outcomes.  Assuming that tossing each die is independent of tossing the other one, how many possible outcomes could there be?

anonymous · Answer

6*6 = 36

anonymous · Answer

Right? @mathmale

anonymous · Answer

I got c also it is 1/36

anonymous · Answer

How about b and d? @mathmale

mathmale · Answer

Let's state the "answers" accurately.  The number of possible outcomes, when two dice are thrown at the same time, is   ....    ?

anonymous · Answer

36?

mathmale · Answer

Yes.   If  you answer in complete sentences,  your answers are likely to have more meaning for you as well as for anyone who reads your work.

Now, for part (b):

mathmale · Answer

Write out the actual outcomes of tossing two dice together that would result in a sum of 9.

anonymous · Answer

Okay
For b part, is the probability that the sum on the two dice comes out to be 9 is 4/36 or 1/9?

mathmale · Answer

Mind writing out all of the possibilities of what the 2 dice would look like?  For example:  R:4 with G: 5  (since 4+5 = 9).

anonymous · Answer

Yes 3+6, 4+5, 5+4 and 6+3

anonymous · Answer

Right so 4/36 or 1/9?

anonymous · Answer

@mathmale please help:(

anonymous · Answer

@nkaty You are right. 4/36 = 1/9 is correct for (b)

anonymous · Answer

And for (d), there are obviously 6 cases wherein the dice fall with the same face up, right?
So you should be able to calculate the probability for the event in (d).