Пример №13 из задания 10

У бабушки \(25\) чашек: \(2\) с красными цветами, остальные с синими. Бабушка наливает чай в случайно выбранную чашку. Найдите вероятность того, что это будет чашка с синими цветами.


Решение

Количество чашек синими цветами равно \(25-2=23\).

Согласно классическому определению вероятностей имеем формулу \(\displaystyle P(A)=\frac{m}{n}\), где \(m\) — число благоприятных исходов (в нашем случае количество чашек с синими цветами), а \(n\) — количество всех исходов (в нашем случае все чашки).

Подставим в формулу и найдем вероятность того, что бабушка нальет чай в синюю чашку: \( \displaystyle P(A)=\frac{23}{25}=0,92\).

Ответ: \(0,92\).


Источник: ЕГЭ 2018. Математика. Базовый уровень. Типовые тестовые задания. 14 вариантов заданий (вариант №8) (Купить книгу)

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