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A few students that have great interest in going into financial mathematics, be in JC students or Uni students that were taught by me before, asked me where to start. So I often recommend them to [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Required probability (ii) Taking complement, Required probability [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (a) (b) (ii) Using the Graphing Calculator, KS Comments: Students [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) (iii) (iv) (v) KS Comments The tree diagram was not easy definitely.

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Since L and G are independent events, (ii) (iii) (iv) since L and G [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) (iii) KS Comments: This probability question tests students [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (a) Required Probability (b) Required Probability (c) (ii) Personal [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Let . (ii) Let . Since is large, approximately. by continuity [...]

The Shannon number, named after Claude Shannon, is an estimated lower bound on the game-tree complexity of chess of 10120, based on about 103 initial moves for White and Black and a typical game [...]

A man write five letters, one each to A, B, C, D, and E. Each letter is placed in a separate envelope and sealed. He then addresses the envelopes, at random, on each to A, B, C, D, and E. Find [...]