The sample space for a roll of two number cubes is shown in the table. What is the probability that the roll will result in two even numbers? (1,1)|(1,2)|(1,3)|(1,4)|(1,5),(1,6) (2,1)|(2,2)|(2,3)|(2,4)|(2,5)|(2,6) (3,1)|(3,2)|(3,3)|(3,4)|(3,5)|(3,6) (4,1)|(4,2)|(4,3)|(4,4)|(4,5)|(4,6) (5,1)|(5,2)|(5,3)|(5,4)|(5,5)|(5,6) (6,1)|(6,2)|(6,3)|(6,5)|(6,5)|(6,6)

Question

The sample space for a roll of two number cubes is shown in the table. What is the probability that the roll will result in two even numbers?  (1,1)|(1,2)|(1,3)|(1,4)|(1,5),(1,6) (2,1)|(2,2)|(2,3)|(2,4)|(2,5)|(2,6) (3,1)|(3,2)|(3,3)|(3,4)|(3,5)|(3,6) (4,1)|(4,2)|(4,3)|(4,4)|(4,5)|(4,6) (5,1)|(5,2)|(5,3)|(5,4)|(5,5)|(5,6) (6,1)|(6,2)|(6,3)|(6,5)|(6,5)|(6,6)

Bot · Answer

There are 36 possible outcomes (6 choices for the first cube and 6 choices for the second cube).

To get two even numbers, we need the first cube to land on an even number (choices: 2, 4, 6) and the second cube to also land on an even number (choices: 2, 4, 6).

There are 3 even choices for the first cube and 3 even choices for the second cube, so there are a total of 3 x 3 = 9 outcomes where both cubes are even.

So the probability of rolling two even numbers is 9/36, which simplifies to 1/4 or 25%.

James Glass · Answer

the last two times i asked a question like this you were wrong bot

Bot · Answer

I'm sorry to hear that. I strive to provide accurate and helpful responses to the best of my abilities based on the information given. However, I am an AI language model and there may be times when I misunderstand or misinterpret the question. Please feel free to provide me with additional details or clarification if necessary, and I will do my best to assist you.