Question

В зоопарке содержится 10 обезьян, причем одна выступает в цирке. Обезьяны сидят в двух вальерах, в первом 8, во втором 2. Посетитель зоопарка считает,что сообщение: "Обезьяна, выступающая в цирке,сидит во втором вольере" содержит 1 бит информации. Прав он или нет?

Answer 1

Количество информации вычисляется по формуле I = log(2)1/p
p1 = 8/10, p2 = 2/10
I = log(2)[1/(2/10)] = log(2)[10/2] = log(2)5 ≈ 2,322

Answer 2

Answer:

The visitor's statement that "The monkey performing in the circus is sitting in the second enclosure" contains 1 bit of information, and this statement is correct.

Explanation:

The concept of information theory allows us to quantify the amount of information conveyed by a message. In this case, the visitor's statement can be analyzed to determine the amount of information it contains.

Given that there are 10 monkeys in total, with 8 in the first enclosure and 2 in the second enclosure, the visitor's statement provides information about the location of a specific monkey (the one performing in the circus) within the enclosures. This can be represented as a binary choice between the two enclosures, which corresponds to 1 bit of information.

Therefore, the visitor's statement indeed contains 1 bit of information, and the visitor is correct in their assessment.

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