We are given that two dices are rolled. Since each dice has numbers from 1 to 6, the total possible outcomes are:
We are asked to determine the probability of getting an even number or a number greater than 7.
To do that we will use the following relationship:
Where:
To determine the probability of getting an even number we need to determine the number of outcomes where there is an even number. Those outcomes are:
There are a total of 27 outcomes where there is an even number out of a total of 36 possible outcomes, therefore, the probability of getting an even number is:
To determine the number of outcomes where there is a number greater than 7 we notice that since each dice is numbered from 1 to 6 this means that there is no number greater than 7 therefore, the probability is zero:
Substituting in the formula for both probabilities we get:
Therefore, the probability of getting an even number or a number greater than 7 is 27/36.