when rolling 2 6-sided numbers cubes what are the chances the sum of the roll will be 7
There are 36 possible outcomes when rolling two 6-sided number cubes. To find the number of outcomes that result in a sum of 7, we can list all possible combinations:
1 + 6
2 + 5
3 + 4
4 + 3
5 + 2
6 + 1
So, there are 6 possible outcomes that result in a sum of 7. Therefore, the probability of rolling a sum of 7 is 6/36 or 1/6 or about 0.167 or 16.7 percent.
To calculate the probability of rolling a sum of 7 with two 6-sided number cubes, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes:
Since each number cube has 6 sides with numbers 1 to 6, the total number of possible outcomes for rolling two cubes is obtained by multiplying the number of sides on each cube: 6 x 6 = 36.
Number of favorable outcomes:
To obtain a sum of 7, we need one of the cubes to show a 1, and the other cube to show a 6 OR one cube to show a 2, and the other to show a 5 OR one cube to show a 3, and the other to show a 4. So there are 3 favorable outcomes.
Probability:
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
P(sum of 7) = Number of favorable outcomes / Total number of possible outcomes
= 3 / 36
= 1 / 12
Therefore, the chances of rolling a sum of 7 with two 6-sided number cubes is 1 in 12.