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Nyla owns 13 films.
9 of her films are romance films.
She chooses one of her films at random.
What is the probability that it is not a romance
film?
Give your answer as a fraction in its simplest
form.

Respuesta :

Answer:

4/13

Step-by-step explanation:

What is a fraction?

A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.

Nyla owns 13 films in total, out of which 9 are romance films. To solve for how many films are not romance, we can subtract the number of romance films from the total amount of films:

  • 13 - 9 = 4

This means that the remaining 4 films are not romance films.

How can you solve for the probability of an event?

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the number of favorable outcomes is the number of non-romance films (4) and the total number of possible outcomes is the total number of films (13).

4 ÷ 13 = [tex]\frac{4}{13}[/tex]

Therefore, the probability that Nyla chooses a non-romance film at random is [tex]\frac{4}{13}[/tex]. This fraction is already in its simplest form.

Nyla owns 13 films, and 9 of them are romance films.

The probability of choosing a romance film is:

9/13

The probability of not choosing a romance film is the complement of the probability of choosing a romance film, which is:

1 - 9/13 = 4/13

Therefore, the probability that Nyla chooses a film that is not a romance film is 4/13.