Problem
(1 point) (Note: The following problem is similar to problems 7 and 8 in section 2.4 (page 81) of your text.) An experiment consists of rolling three fair dice --- a red die, a blue die, and a white die --- and recording the number rolled on each die. Assume that the dice are fair, so that all outcomes are equally likely. (1) What probability should be assigned to each outcome? $\frac{1}{216}$ (2) What is the probability that the sum of the numbers rolled is 5 ? (3) What is the probability that the sum of the numbers rolled is at most 6 ?
Solution
Step 1 ：The problem is asking for the probability of each outcome when rolling three dice. Since each die has 6 faces, and all outcomes are equally likely, the total number of outcomes is \(6^3 = 216\). Therefore, the probability of each outcome is \(\frac{1}{216}\).
Step 2 ：The final answer is the probability assigned to each outcome is \(\boxed{\frac{1}{216}}\) or approximately \(\boxed{0.00463}\).
