SOLUTION: How many possible outcomes are there when 3 fair dice are rolled, one red, one green, and one white?

Question 1190549: How many possible outcomes are there when 3 fair dice are rolled, one red, one green, and one white?

Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.


The number of all possible outcomes is  6*6*6 =  = 216  in this situation.


There are 6 possible outcomes for each colored fair die, independently.

Solved and explained.

--------------

You may ask me, what is the role of coloring ?

It makes all 216 outcomes distinguishable.

Had the three dice be undistinguishable (identical), then some (~ many) of 216 outcomes would be undistinguishable;
so then the total number of distinguishable outcomes would be less than 216.

RELATED QUESTIONS
When two fair dice are rolled, there are 36 possible outcomes. How many possible outcomes (answered by addingup)

Imagine you have two dice, one red and one white. You roll the dice at the same time.... (answered by stanbon)

How many possible outcomes are there when 100 dice are... (answered by stanbon)

Find the conditional probability of the indicated event when two fair dice (one red and... (answered by rothauserc,ikleyn)

Find the conditional probability of the indicated event when two fair dice (one red and... (answered by greenestamps,ikleyn)

Two six-sided dice are rolled (one red and one green). Some possibilities are... (answered by stanbon)

when four dice are rolled simultaneously, in how many outcomes will at least one of the... (answered by scott8148)

two balls are to be selected from a bag without replacement. The bag contains one red,... (answered by Fombitz)

Two dice (say one red and one white) are rolled. What is the probability that the white... (answered by Edwin McCravy)