# What is the probability of the complement of rolling a number less than 5 by using a six-sided die?

Probability is the branch of mathematics that deals with predicting the possibility of occurrence of an event. It has many applications in various fields.

## Answer: The probability of the complement of rolling a number less than 5 by using a six-sided die is 1/3.

Let's understand in detail.

**Explanation:**

Since there are six numbers in a fair die;

Sample space of the given event E = {1, 2, 3, 4, 5, 6}.

Sample space of values less than 5 = {1, 2, 3, 4}.

Hence, the number of favorable outcomes = 4.

Hence, P(values less than 5) = 4/6 = 2/3.

Now, to find the complement of rolling a number less than 5, we use the formula P' = 1 - P, where P' is the complement of P.

Now, P'(values less than 5) = 1 - P(values less than 5) = 1 - 2/3 = 1/3.