Thursday, May 20, 2004

ahem, i'm sick again. coughed blood in my phlegm and vomitted. doc gave me another 4 days mc. will i be well ?

while i was resting i read my book "the curious incident of the dog in the night time"
there's this v. interesting maths q.

"you are a game show on television. on this game show the idea is to win a car as a prize. the game show host show u 3 doors.he says that there is a car behind the one of the doors and goats hehind the other two doors. He asks you to pick a door. you pick a door but the door is not open. then the host opens one of the doors u didn't pick to show a goat. Then he says that you have one final chance to change your mind before the doors are open and you get a car or a goat.so he asks you if you want to change your mind and pick the other unopened door instead. wat should you do. ? "

By intuition many of us will think that it doesn't make a difference cos the chance that the unopen door will win you a car is 50-50. However, suprise suprise. this is not so. ANS is that u should pick the other unopened door cos the probabilty that you will win the prize is 2/3. want the mathematical solution, it's in the book. i'm too lazy to type it out maybe next time.

this q was solved by Marilyn vos Savant , she has the highest IQ in the world in the Guinnes Book world of Records Hall of fame. many PHDs, scientist and mathematicians argued with her over her solution. yet, she's right.

This is like old time catholic church when people condemn Galileo for his theory of the sun and the earth . people are just so unopen in the mind that's why they cannot see new things.

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