Two number cubes each have sides that are labeled 1 to 6. Iris rolls the 2 number cubes. What is the probability that the sum of the numbers on the number cubes will equal 4?
The numbers are (1,3 )(2,2) (3,1)
3/36=1/12
To find the probability that the sum of the numbers on the number cubes will equal 4, we need to determine the number of favorable outcomes (the sum is 4) and the total number of possible outcomes.
Let's consider the possible outcomes for each number cube:
Number cube 1: {1, 2, 3, 4, 5, 6}
Number cube 2: {1, 2, 3, 4, 5, 6}
To find the favorable outcomes (sum equals 4), we need to determine all the combinations where one number cube lands on a number that, when added to the other number cube, gives a sum of 4:
1 + 3 = 4
2 + 2 = 4
3 + 1 = 4
So, there are 3 favorable outcomes.
The total number of outcomes is found by multiplying the number of options on each number cube:
Total outcomes = 6 * 6 = 36
Therefore, the probability of rolling a sum of 4 is:
Probability = favorable outcomes / total outcomes
Probability = 3 / 36
Simplifying the fraction, we get:
Probability = 1 / 12
Therefore, the probability that the sum of the numbers on the number cubes equals 4 is 1/12.
To find the probability that the sum of the numbers on two number cubes will equal 4, we need to determine the number of favorable outcomes (where the sum is 4) and the total number of possible outcomes.
Let's start by listing all the possible outcomes when rolling two number cubes:
- Cube 1: 1, 2, 3, 4, 5, 6
- Cube 2: 1, 2, 3, 4, 5, 6
To get a sum of 4, the number combinations that work are: (1,3), (2,2), (3,1). So, there are 3 favorable outcomes.
Since there are 6 possible outcomes for each number cube and we are rolling two number cubes, the total number of possible outcomes is 6 x 6 = 36.
Therefore, the probability of getting a sum of 4 is given by:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 3 / 36
= 1 / 12
So, the probability that the sum of the numbers on the number cubes will equal 4 is 1/12.