As the first day of Chinese New Year draws to a close, terrifying news have been coming in from all corners of the land.
With Judgement Day falling before Chinese New Year for the first time in living memory, a second “Judgement Day” took place today, as an entire nation of post O-Level students stood in line to be ruthlessly massacred by gossipy relatives thirsty for the blood of their O Level results, JC/Poly choices, singlehood status, IQ level, height and weight, amongst other things.
Escaping today’s carnage only because her house-visiting starts on the second day of CNY, a particular Student now dreads the prospects of facing her three aunties tomorrow i.e. a Gossipy Aunty who likes to compare her son’s exam results with hers, a Kaypoh Aunty who likes to ask if she has a boyfriend, and a very mean Evil Aunty who always say that she “has put on weight compared to last year”, even though her weighing machine showed exactly the same reading year after year.
Having just broken up with her two-timing boyfriend and still anxious of where she’ll end up on Friday, she really fears that her festive season will be ruined by people whom she only meets once a year.
As such, she wishes to find out her odds of survival tomorrow …
Analyzing the historical data of her past visits, there’s a 
% chance of running into Gossipy Aunty A, a 25% chance of running into Kaypoh Aunty B and a % chance of running into Evil Aunty C in a particular house visit.
- The *probabilities of Gossipy Aunty A asking about her O Level results, asking which JC/Poly she’s going, and showing-off her son’s results are
, 
and 
respectively. - The *probabilities of Kaypoh Aunty B asking about her O Level results, asking which JC/Poly she’s going, and asking if she has a boyfriend are ,
and 
respectively. - The *probabilities of Evil Aunty C asking about her O Level results, asking which JC/Poly she’s going, and pointing out that she has gained weight are , and
respectively.
Given that each aunty only gets the chance to interrogate/scrutinize her once when they meet, and that there’s absolutely no chance of running into more than one aunty during her visit (∵ they hate each other to the core due to some conflict in their past lives), calculate the probability of her
- being asked about her O Level results.
- being asked about her O Level results or the JC/Poly she’s going.
- escaping any questioning/scrutinizing during the visit.
If she has to make a total of three house visits during this Chinese New Year, and that the probabilities are exactly the same as those described above for each visit, find, correct to 3 significant figures, the probability of her
- escaping any questioning/scrutinizing in at least two visits.
- having a happy Chinese New Year (i.e. avoiding any questioning/scrutinizing on all three visits)
At this point, she realized to her dismay that the carefree months following her O Levels have caused her to generously return all her knowledge of EMaths Probability to her Cher, but she still have a vague memory of her sexy maths tutor saying something to the effort of
For this kind of cheong hei long-winded Probabilty question, it’s important that you draw a Probability Tree Diagram to help you see clearly ALL possible outcomes in the scenario.
Can you help our Student find out if she’s going to have a Happy Chinese New Year tomorrow?
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Miss Loi is a full-time private tutor in Singapore specializing in O-Level Maths tuition. Her life's calling is to eradicate the terrifying LMBFH Syndrome off the face of this planet. For over 21 years she has been a savior to countless students ... 
曜
日
Introducing The New Temple!
(15)Hello everyone! Konnichiwa! 欢迎欢迎! Welcome to the tour of The New Temple!
great-great-great Grandmother
My name is Miss Loi, the great-great-great-great-great-great granddaughter of The Temple’s founder, and I shall be your tour guide for today.
While we wait for the rest to finish their arduous climb up The 38 Steps To Salvation, here’s some background information on the UNESCO World Heritage site that you’re about to visit.
Established in 2007 A.D. by my great-great-great-great-great-great grandmother to help students in their mathematics, it has its humble beginnings in a small, little room where we now stand.
You see, lives of Singaporean students were pretty harsh in those days. Crammed into classes of 40 or more in school, all of them had to sit for two major exams, common tests and numerous class tests every year.
*Collective ‘Oooh’ from the tour group*
OK seems like everyone’s here. Let’s start the tour proper shall we?
The New Temple Gates
What you’re seeing before you are the legendary NEW Temple Gates, finally unveiled to the internet-at-large in February 2009 A.D. after, according to popular folklore, my great-great-great-great-great-great grandmother took a month to locate a missing ‘k’.
It’s been said that the very sight of them once reduced straight-As students to tears, and caused many to experience a sudden surge in their Mathematical prowess.
At this point, I’d like to ask a quick quiz question: Can anyone tell me what’s the expression for the rth+1 term in the binomial expansion of (a+b)n?
Well done Sato-san! *clap clap* It does seem like there’s an element of truth to the legend after all.
The Chamber of Λ
As we walk past the Tablet of Gratitudes from which hangs a myriad of homage to my great-great-great-great-great-great grandmother, you’ll see on your left The Chamber of Λ – the first of The Temple’s Four Chambers.
Sporting the same Λ symbol on Spartan shields, legend has it that my great-great-great-great-great-great granduncle once used this chamber to shield his A-Level / IB charges from the attacks of the 3D Vectors, amongst other A-Level topics.
With a maximum capacity for 6 students, it holds the record for the longest glass board of all in The Temple, and is also the only chamber where you can find white tables (because the dark ones were sold out by the time we reached Ikea).
The Chamber of δ
Continuing down the hallway, you’ll soon see on your right The Chamber of δ.
Oh delta, the Symbol of Change, and the symbol of the cosy little chamber of my little great-great-great-great-great-great grandaunt, where she once held audiences with O Level Science students and where she was rumoured to have conducted her dark alchemic Chemistry and Biology experiments.
With a maximum capacity for 5 students, it holds the record for the smallest glass board in The Temple and, when my little great-great-great-great-great-great grandaunt was not around, it was also the place where errant students who didn’t do their homework got themselves banished to aka 打入冷宫 in the hope that they would
their learning attitudes – since this is, after all, The Chamber of Change.
The Chamber of π
Continuing down to the end of the hallway, we arrive at The Chamber of π.
π – that enigmatic infinitely irrational number which plagued Singaporean students like a leech from their pre-pubescent primary school years all the way to their tertiary years, and despite everything, a number that’s still widely used by dieting women today to compute the circumference of their waists.
With a maximum capacity for 6 students, this is the sister chamber to the sacred Chamber of φ (which we’ll come to shortly), a mirror-like extension of the latter in times of crisis when The Temple was frequently overrun.
The Chamber of φ
And now hold your breath, ladies and gentlemen, for we have come to the innermost quarter of The Temple.
Before you lies The Chamber of φ – the domain of my great-great-great-great-great-great grandmother The High Priestess herself, the Holiest of Holies, the sanctum sanctorum of The Temple, and the main attraction which you have paid your tourist money for.
Oh φ – the Symbol of the Golden Ratio of perfection, and the Mark of the great Jφss Sticks Movement that brought about the demise of the LMBFH Syndrome during the turbulent Tuition Nation era at the turn of the 21st Century A.D.
Lined with good luck study charms from faraway Japan, this was where the High Priestess famously prepared her inner circle of disciples (6 at a time) for the wars against the Great Enemy, and where her ministries were held to cleanse them of their deadly sins of careless mistakes and not leaving enough time in exams to check their answers.
In fact, so powerful was her presence that her spirit is rumoured to be still lingering within the chamber till today …
*Ground trembles*
Umm … excuse me?
Oh no not again!
GRANDMA! STOP IT!!!!!!!!!!!!!!!!!!!
*silence*
.
.
.
Umm … that’s the end of our tour.
If you’ve enjoyed it, I’d certainly appreciate a small token of appreciation from you at our tip box. We accept all major currencies but please don’t be a cheapskate and tip us in US Dollars.
Once again Thank You / Arigato / 谢谢 for coming and have a very Happy Lunar New Year 2999!