For these questions, the experiment consists of rolling 3 ordinary, presumably fair, 6-sided dice, one red, one, white, and one black. Give your answers to the nearest integer. What is the size of the...

For these questions, the experiment consists of rolling 3 ordinary, presumably fair, 6-sided dice, one red,
one, white, and one black. Give your answers to the nearest integer.
What is the size of the sample space?
The sample Size = 6 x 6 x 6 = 216
There are a total of 216 possible rolls: 6 on the first die, 6 on the second die, and 6 on the third die.
We can list them as (first, second, third); for example, (1, 3, 2) means a 1 on the first die, 3 on the
second, and 2 on the last.
What is the probability that all three dice show the same number?
There are only six possible rolls where all three numbers are the same: (1, 1, 1), (2, 2, 2), (3, 3, 3), (4, 4,
4), (5, 5, 5), and (6, 6, 6). The other 210 possible rolls don't match, so the ones that do match
represent 6 out of 216, or 1 out of 36. Since probabilities are usually written as reduced fractions, we
would say that the probability is 1/36 or 1...