Question

В начале действий в коробке было 30 шаров трех цветов: белые, синие и красные. Если мы удвоим количество синих шаров, то вероятность вытащить белый шар станет на 136 меньше, чем была изначально. Если мы уберем все белые шары, то вероятность вытащить синий шар станет на 125 больше, чем вероятность вытащить синий шар в начале. Сколько белых шаров лежало в коробке?

Answer 1

Ответ: 16

Пошаговое объяснение:

Там всё понятно

Answer 2

Problem Analysis

We are given that there were initially 30 balls in a box, with three different colors: white, blue, and red. We are also given two conditions: 1. If we double the number of blue balls, the probability of drawing a white ball will be 136 times smaller than the initial probability. 2. If we remove all the white balls, the probability of drawing a blue ball will be 125 times greater than the initial probability.

We need to determine the number of white balls in the box.

Solution

Let's assume that there were initially w white balls, b blue balls, and r red balls in the box.

According to the first condition, if we double the number of blue balls, the probability of drawing a white ball will be 136 times smaller than the initial probability. This can be expressed as:

w / (w + b + r) = (w / (w + 2b + r)) / 136 According to the second condition, if we remove all the white balls, the probability of drawing a blue ball will be 125 times greater than the initial probability. This can be expressed as:

b / (w + b + r) = (b / (b + r)) / 125 We can solve these two equations to find the values of w, b, and r.

Solving the Equations

Let's solve the equations using substitution and algebraic manipulation.

From equation we can rewrite it as:

136w = w + 2b + r From equation we can rewrite it as:

125b = b + r We can simplify equation by subtracting w from both sides:

135w = 2b + r Now, let's substitute equation into equation:

135w = 2(125b - b)

Simplifying further:

135w = 248b

Dividing both sides by 135:

w = (248/135)b [[6]]

Now, let's substitute equation [[6]] into equation:

125b = b + r

Simplifying further:

124b = r [[7]]

Now, we have two equations: [[6]] and [[7]]. We can solve these equations to find the values of w, b, and r.

Solving the Equations

Let's solve the equations using substitution and algebraic manipulation.

From equation [[6]], we have:

w = (248/135)b

Substituting this into equation [[7]], we get:

124b = (248/135)b

Dividing both sides by b:

124 = 248/135

Multiplying both sides by 135:

124 * 135 = 248

Simplifying:

16740 = 248

This equation is not possible, as it leads to an inconsistency. Therefore, there is no solution that satisfies the given conditions.

Conclusion

Based on the given conditions, it is not possible to determine the number of white balls in the box. The information provided in the problem leads to an inconsistency, and there is no solution that satisfies the given conditions.

Please let me know if there is anything else I can help you with.