Question

в магазине на полке стоят dvd-диски с фильмами среди которых 146 документальных фильмов 182 комедии 112 фильмов в жанре приключение и 260 сериалов . какова веротятность взят наугад диск будет содержится либо сериал либо документальный фильм?

Answer 1

Всего дисков на полке 146+182+112+260=700. Среди них документальных фильмов и сериалов 146+260=406. Вероятность взятого наугад диска быть сериалом или документальным фильмом равна

 

$P=\frac{406}{700}$ сократим на 2.

 

$P=\frac{203}{350}=0,58$

 

Или 58 %. То есть с вероятностью больше половины.

Answer 2

Calculation of Probability

To calculate the probability of randomly selecting a DVD that contains either a documentary film or a TV series, we need to consider the total number of DVDs available and the number of DVDs that fall into the specified categories.

According to the information provided, there are: - 146 documentary films - 182 comedies - 112 adventure films - 260 TV series

To find the total number of DVDs available, we can sum up the number of DVDs in each category:

Total DVDs = 146 (documentary films) + 182 (comedies) + 112 (adventure films) + 260 (TV series) = 700 DVDs

Now, let's calculate the probability of randomly selecting a DVD that contains either a documentary film or a TV series.

Probability = (Number of DVDs with documentaries + Number of DVDs with TV series) / Total DVDs

Probability = (146 + 260) / 700

Probability = 406 / 700

Probability ≈ 0.58

Therefore, the probability of randomly selecting a DVD that contains either a documentary film or a TV series is approximately 0.58.

Please note that the calculation assumes that each DVD is equally likely to be selected and that there is no overlap between the categories (i.e., a DVD cannot be both a documentary film and a TV series).