# Using a six-sided die, what is the probability of rolling either a 5 or a 6?

**Solution:**

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x.

The formula to calculate the probability of an event is as follows.

Probability(Event) = Favourable Outcomes/Total Outcomes = x/n

Given, a six-sided die is rolled once.

We have to find the probability of rolling either a 5 or a 6.

When a six-sided die is rolled, the possible outcomes are :

{1, 2, 3, 4, 5, 6}

The probability of rolling a 5 is 1/6

The probability of rolling a 6 is 1/6

The probability of rolling either a 5 or a 6

= 1/6 + 1/6

P(5 or 6) = (1 + 1)/6

= 2/6

= 1/3

Therefore, the probability of rolling either a 5 or a 6 is 1/3.

## Using a six-sided die, what is the probability of rolling either a 5 or a 6?

**Summary:**

Using a six-sided die, the probability of rolling either a 5 or a 6 is 1/3.

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