An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4?

4 = 1 + 3 or 2 + 2 or 3 + 1

so
3 out of 36 which is 1/12

There are 36 possibilities. Four can be obtained by 1,3; 3,1; 2,2. So 3/36 = ?

To find the probability that the sum of the two numbers will be 4 when rolling two fair number cubes, we need to determine the number of favorable outcomes and the total number of possible outcomes.

To find the number of favorable outcomes, we can list all the possible combinations of numbers that sum to 4:

(1, 3), (2, 2), (3, 1)

So, there are three favorable outcomes.

To find the total number of possible outcomes, we need to consider that each number cube has six sides, numbered 1 through 6. Since we are rolling two cubes, each cube can land on any of the six numbers independently. Therefore, the total number of possible outcomes is 6 * 6 = 36.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 3 / 36
Probability = 1 / 12

Hence, the probability that the sum of the two numbers will be 4 is 1/12.

P( total of 3)

think yes it is 1/12