Question

В корзине лежат черные и белые шары(поровну). Сообщение о том, что достали белый шар, несет 2 бита информации. Сколько всего шаров в корзине? Дайте полный и обоснованный ответ.

Answer 1

2 бита: значит шаров 3 или 2 .
раз поровну, то 2
ответ2

Answer 2

The number of balls in the basket

To determine the total number of balls in the basket, we need to consider the information given in the question. It states that there are an equal number of black and white balls in the basket, and the message of drawing a white ball carries 2 bits of information.

Let's break down the problem step by step:

1. The message of drawing a white ball carries 2 bits of information. In information theory, the number of bits required to represent a certain number of possibilities is given by the formula:

bits = log2(possibilities)

In this case, the message carries 2 bits of information, so we can rewrite the formula as:

2 = log2(possibilities)

2. Solving the equation for possibilities:

To find the number of possibilities, we need to isolate the variable "possibilities" in the equation. By raising both sides of the equation to the power of 2, we can eliminate the logarithm:

2^2 = 2^(log2(possibilities))

Simplifying further:

4 = possibilities

Therefore, there are 4 possibilities.

3. The possibilities in this case represent the number of balls in the basket. Since there are an equal number of black and white balls, we can divide the possibilities by 2 to find the number of each color:

Total number of balls = possibilities / 2 = 4 / 2 = 2

Therefore, there are a total of 2 balls in the basket.

To summarize, based on the information provided, there are a total of 2 balls in the basket.