In the US TV series “Numb3rs”, Dr. Charles Eppes (played by David Krumholtz) asked his audience to choose 1 card from 3 cards wherein 1 card has the imaginary prize of brand new shiny red car. The audience, by majority, chose card number 2. But instead of opening it, Dr. Eppes opened card number 3 – it was blank. Now he posed the challenged again to the audience if they wanted to change their card choice. The audience ambiguously replied in the negative, wanting to keep their card no. 2 choice.
That is when Dr. Eppes, revealed a mathematical truth – that since their chance or probability was increased from 33.33% to 50%, the logical and mathematically correct decision is to make another choice. The “logic” that the original choice also represented the 50% probability is misleading because it was originally chosen when card no. 3 was not yet revealed.
In Zek’s homeschooling the most challenging subject for us to teach is mathematics (the rest are just downright difficult). My wife and I, both taught the traditional approach to mathematics, will be the first to admit that this subject has always been our Achilles heel. And this becomes more obvious this school-year on Zek’s fourth grade. He always catches us in our blank stares into nothingness (my wife and I call it “deep thought” :D) at most of the “Think and Try” exercise at the end of each lesson.
(photo downloaded from the internet with labelled credit to entertainment.desktopnexus.com)