Question

We roll a regular six-sided die. What is the probability that we roll either a 6 or an even number ?

Answer 1

`(2)/(3)`

Explanation;

Here, we want to get the probability of rolling either a 6 or an even number

If we roll a die, there are 6 possible results, that is 1 to 6

The number of 6 we have is 1. So the probability of rolling a 6 will be 1/6

The even numbers we have are 2,4,6.

The probability of rolling a even number is the count of even numbers divided by the total count of numbers

We have this as 3/6

Since we have or as the condition, we will have to add the two probabilities from above

We have this as:

`(1)/(6)+(3)/(6)\text{ = }(4)/(6)\text{ = }(2)/(3)`