13. the table below shows the sums of two number cubes being rolled. what is the probability that the sum…

13. the table below shows the sums of two number cubes being rolled. what is the probability that the sum will be an even number? express your answer as a decimal.

13. the table below shows the sums of two number cubes being rolled. what is the probability that the sum will be an even number? express your answer as a decimal.

Answer

Explanation:

Step1: Count total outcomes

There are 6 rows and 6 columns in the table, so the total number of outcomes when two number - cubes are rolled is $6\times6 = 36$.

Step2: Count favorable outcomes

Count the number of even - numbered sums in the table. The even - numbered sums are: 2, 4, 6, 8, 10, 12. By counting, we find there are 18 even - numbered sums.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P=\frac{18}{36}=0.5$.

Answer:

0.5