Question

В коробке лежит 23 белых шаров, 33 черных, а остальные – красные. Вероятность вытянуть красный шар равна 1/3. Сколько всего шаров в коробке?

Answer 1

Пусть количество красных шаров х.

Тогда общее количество всех шаров:

23+33+х= 56+х

Тогда вероятность вытянуть красный шар:

х/ 56+х

Вероятность вытянуть красный шар равна 1/3 (по условию).

Получаем:

1/3 = х/ 56+х

56+х=3х

56=2х

х=28 (количество красных шаров в коробке)

Ответ: 28 красных шаров

Answer 2

Problem Analysis

In the given problem, we are told that there are 23 white balls, 33 black balls, and the rest are red balls in a box. The probability of drawing a red ball is 1/3. We need to determine the total number of balls in the box.

Solution

Let's assume the total number of balls in the box is x.

According to the given information, we have the following equations:

- Number of white balls = 23 - Number of black balls = 33 - Number of red balls = x - 23 - 33

The probability of drawing a red ball is given as 1/3. This means that the number of red balls divided by the total number of balls should be equal to 1/3:

(x - 23 - 33) / x = 1/3

To solve this equation, we can cross-multiply:

3(x - 23 - 33) = x

Simplifying the equation:

3x - 3(23) - 3(33) = x

3x - 69 - 99 = x

2x = 168

x = 168 / 2

x = 84

Therefore, the total number of balls in the box is 84.

Answer

The total number of balls in the box is 84.