The problem asks for the total number of outcomes when rolling two six-sided dice.
The outcomes are represented in a 6x6 table.
Calculate the total number of outcomes by multiplying the number of rows and columns: 6 × 6 = 36 .
The total number of possible outcomes is 36 .
Explanation
Understand the problem We are given a table that represents all possible outcomes of rolling two six-sided number cubes. Our goal is to determine the total number of possible outcomes.
Analyze the table structure The table is structured as a 6x6 grid, where each row represents the outcome of the first number cube (1 to 6) and each column represents the outcome of the second number cube (1 to 6). Therefore, each cell in the table represents a unique outcome of the two dice rolls.
Determine the calculation To find the total number of possible outcomes, we need to count the number of cells in the table. Since it's a 6x6 grid, we can calculate the total number of outcomes by multiplying the number of rows by the number of columns.
Calculate the total outcomes The total number of possible outcomes is calculated as follows: 6 × 6 = 36
State the final answer Therefore, there are 36 possible outcomes when rolling two six-sided number cubes.
Examples
In probability, understanding the total possible outcomes is crucial for calculating the likelihood of specific events. For example, if you want to know the probability of rolling a sum of 7 with two dice, you need to know that there are 36 possible outcomes in total. This concept is also used in games of chance, statistical analysis, and various real-world scenarios where understanding possible outcomes is important for decision-making.