Question

A cube is numbered one through six. If the die is rolled twice, how many of the possible outcomes will have two even numbers?

A) 6
B) 9
C) 12
D) 16

Answer 1

To find the number of outcomes that have two even numbers when rolling a cube twice, we need to determine the number of even numbers on the cube. Use the multiplication principle to find the total number of outcomes and consider the number of outcomes with two even numbers.

Step-by-step explanation:

To find the number of outcomes that have two even numbers when rolling a cube twice, we need to determine the number of even numbers on the cube. In this case, there are three even numbers on the cube (2, 4, and 6).

Since we are rolling the cube twice, we can use the multiplication principle to find the total number of outcomes. There are 6 outcomes on the first roll and 6 outcomes on the second roll, so the total number of outcomes is 6 x 6 = 36.

Now, we need to consider the number of outcomes that have two even numbers. If we roll an even number on the first roll, there are 3 even numbers left for the second roll. So, the number of outcomes with two even numbers is 3 x 3 = 9.

Therefore, the correct answer is B) 9.