a cube is numbered 1 through 6. if the cube is rolled twice, how many of the possible outcomes will have two…

a cube is numbered 1 through 6. if the cube is rolled twice, how many of the possible outcomes will have two even numbers?\n3\n9\n18\n36

a cube is numbered 1 through 6. if the cube is rolled twice, how many of the possible outcomes will have two even numbers?\n3\n9\n18\n36

Answer

Explanation:

Step1: Identify even - numbered outcomes on one roll

On a cube numbered 1 - 6, the even - numbered outcomes are 2, 4, 6. So there are 3 even - numbered outcomes on one roll.

Step2: Use the multiplication principle for two - roll events

The multiplication principle states that if there are (m) ways to do one thing and (n) ways to do another thing, then there are (m\times n) ways to do both things. Here, (m = n=3) (the number of even - numbered outcomes on each roll). So the number of outcomes with two even numbers when rolling the cube twice is (3\times3). (3\times3 = 9)

Answer:

B. 9