In the Digital Communication lecture, information was described as the opposite of probability.

Question

BlackTom AI · Accepted Answer

The question states: 'In the Digital Communication lecture, information was described as the opposite of probability.'
Option 1: True. In information theory, there is a fundamental relationship between information content and probability: information (often quantified as self-information or surprisal) is defined as I(p) = -log2(p). This means that as probability p increases, information decreases, and as probability decreases (events are less likely), information increases. While some will phrase this as 'information is inversely related to probability' rather than the literal opposite, many pedagogical explanations describe information content as being conceptually opposite to probability in the sense of an inverse, or in terms of surprise vs. likelihood. Therefore, labeling the statement as True aligns with the intuition that information grows when events are unlikely, i.e., when probability is low.
Option 2: False. If one interprets 'opposite' strictly as a diametric, non-overlapping antonym, this is inaccurate because information and probability are not simple opposites; they are related measures, with information depending on probability. The common formal relation is inverse (or monotonic) rather than a direct opposite, so calling them exact opposites would be an oversimplification and not precise.
In summary, the claim hinges on whether the course framed information as inversely related to probability and described that relationship in terms of opposites or inverse relationship. Based on standard information theory, the information content decreases with high probability and increases with low probability, which supports the idea that information is conceptually opposite to probability in terms of behavior across the probability scale, hence True in this context.

In the Digital Communication lecture, information was described as the opposite of probability. 判断题

类似问题

Channel capacity is determined by the

The Digital Communication lecture made the claim that information is the opposite of what?

Which among the following statements best describes the role and significance of Claude Shannon?

Choose a, b, c or d as the best answer. 2. Which statement about Brutalist buildings would the author, most probably, agree with?

Question 30 Choose a, b, c or d as the best answer. The author’s main argument is that the 100:80:100 model __________.

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单