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Chapter 7: Problem 381

In how many different ways may a pair of dice fall?

Short Answer

Expert verified
There are 36 different ways a pair of dice may fall.

Step by step solution

01

Find the possibilities for Die 1

Since there are six faces on Die 1, there are six possible outcomes for this die. Each face can show any number between 1 and 6, inclusively.
02

Find the possibilities for Die 2

As with Die 1, there are also six faces on Die 2, each marked with the numbers 1 to 6. Thus, there are six possible outcomes for this die as well.
03

Multiplication Principle

According to the multiplication principle, to find the total number of possible outcomes when two independent events occur together, we multiply the number of outcomes for each event. In this case, we will multiply the possibilities of Die 1 by the possibilities of Die 2. Total number of ways = (Possible outcomes for Die 1) 脳 (Possible outcomes for Die 2)
04

Calculate the result

Now substitute the values we found in Steps 1 and 2 to calculate the total number of different ways a pair of dice may fall: Total number of ways = 6 脳 6 = 36 Hence, there are 36 different ways a pair of dice may fall.

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