Question

1. 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.

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