Problem Solving


Probability is the study of randomness. Probability distribution is a function that measures the probability of a specific outcome associated with the random variable.

Probability theory and statistics are about different aspects of uncertainty.

  • In statistics, we use probability to try and find the underlying process of something that has happened and strive to explain the observations.
  • Machine learning is similar to statistics. It makes a model that represents the process that generates the data.
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Problem Solving


Reading Onscreen Vs On Printed Text

Most schools and colleges have gone completely digital with professors and teachers abandoning textbook assignments in favour of multimedia coursework and digital text.

However, studies show that reading several pages of text on printed paper is more effective than on the screen. Printed text reading improves the recall of minor details and also the understanding of the core content.

“Let your plans be dark and impenetrable as night, and when you move, fall like a thunderbolt.”

Humans falsely believe that we process information in an incremental, linear way.

  • The Anchoring Effect suggests that the first pieces of information are weighted in a much heavier way than subsequent pieces.
  • The Empathy gap makes people fail to understand just how deep each separate piece of information is, viewing it just like a dry statistic.

Direct practice is not the opposite of deep understanding.

A naive approach to mastering, for example, physics problems, is to continue practising exam questions. But practising limited exam questions is not the same as the range of problems you will find in the real world. To solve real problems, you need a deep structure for understanding the problems, not just memorised solution patterns that you cannot apply.

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