Probability Notes: HK Syllabus & Recommendations

[dalcde]

I have made some study notes on probability. Please have a look and see if there are recommendations. I'm forced to follow the syllabus in Hong Kong so I had to add some boring and nonsense stuff inside (unfortunately).

 

[dmatador]

Proof. By definition, equally likely events have equal
probability of happening. Suppose that the probabilty is p.
Since we are sure that something will happen, the total
probability of the events is equal to 1. Hence we have
Obviously p=1/n. Hence the probability of each event is
equal to 1/n.

This could stand to be more rigorous. You could simply employ some subscripts for your p's. I know that you have demonstrated that probabilities for all events are the same, but it would benefit a first time reader of material on probability to know that you are talking about partitions of a sample space, which are distinct events with their own probabilities that add up to 1. How you have written it is rather vague.

You could perhaps touch upon the idea of independent events. For instance, you give some examples of throwing dice, or, you could limit yourself to one die for simplicity. Throwing a 1 and then a 6 are two independent events, so the probability of this event is the product of the probabilities of the two events that comprise it.

 

[dalcde]

I'd like to, but this is intended for year 9 (scondary 3) high school students. I want to introduce some rigor but not too much.

 

[dalcde]

Frankly speaking, their primary objective of learning this is to pass exams. I doubt that there would be more than 10 people actually reading the proof.

Thanks for the comment.

 

[CellCoree]

I appreciate your efforts in making study notes on probability. It is an important topic in the field of science and your notes can be helpful for students who are studying it. I have looked through your notes and I see that you have followed the syllabus in Hong Kong, which is necessary for students in that region. However, I would suggest that you also include some real-life examples or applications of probability to make the content more interesting and relatable for students. This will help them understand the concepts better and see the relevance of probability in their daily lives. Additionally, you can also include some interactive activities or practice problems to make the learning experience more engaging for students. Overall, your notes are a good starting point for students to understand probability, but I would recommend adding some practical examples and activities to enhance their understanding and interest in the subject.