University is starting for some students who took A’levels in 2016. And, one of my ex-students told me to share/ summarise the things to know for probability at University level. Hopefully [...]

A gambler bets on one of the integers from 1 to 6. Three fair dice are then rolled. If the gambler’s number appears times (), he wins latex k1. Calculate the gambler’s expected winnings

Here is a very very interesting question involving probability that a student saw in her tutorial and asked me. Here it is ðŸ™‚ A student is concerned about her car and does not like dents. When she [...]

Here is a compilation of all the Combinatorics articles KS has done. Students should read them when they are free to improve their mathematics skills. They will come in handy! ðŸ™‚ 1. Why is 0! = 1? [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (a) (i) Alternatively, (ii) When , required probability (b) Key GC with [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) (iii) P(B’|A) (iv) since A and C are independent (v)

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) since A and B are independent. (ii) (iii) If , (maximum) If , (minimum)

Before attempting to read what we have here, students should revise their basic probability and linear algebra first. Financial Engineering (I) #1 – Overview Financial Engineering (I) #2 [...]

This is really important for anyone interested in Finance Modelling. As what the movie Wolf on Wall Street says: They are referring to a geometric brownian motion. Firstly, we will begin with the [...]

Lets look at brownian motion now. And yes, its the same as what our high school teachers taught about the particles moving in random motion. Here, we attempt to give it a proper structure and [...]