What can I learn in 10 minutes that will be useful for the rest of my life?
Importance of Mathematics and variable change. I would like to share a scene from movie 21 (28) which concludes the importance of Statistics and variable change (Mathematics) in place of emotions while taking a decision. Without getting into the depth of movie lets try to grasp something which would make our decision making process more efficient. Scene A professor asks a question from student (Ben). italic Professor Suppose you are on a game show in which you have 3 door infront of you. The game host ask you to pick a door inside which there is a brand new car. Which door will you choose? Ben reply I would choose the first one. Professor Ok. Ben choosed door number 1. Now the game host opens door number 3 which is empty. Now you have a choice to change your choice of picking door once again. What would you like to do? Whether you stick to your decision or change? Ben reply I would switch my choice to door number 2. Professor How do you know he is not playing with your mind. Why would you switch the door! The game host knows where the car is. He can use reverse phycology on you. Ben reply I doesn't matter. My answer is based on statistics and variable change. Professor Please elaborate! Ben reply Initially when I was given a choice to choose door among 3 my chances of winning was 33.3%. After he opened the third door (which was empty) and offer me choice its 66.7% if I choose to switch. So yes! I would choose door number 2 and thankyou was that extra 33.3%. Professor Exactly! If you are confused to choose a decision always go for statistics and variable change. Most people don't switch their choice in fear emotions paranoia but Ben set aside his emoticon and let simple Mathematics to win a brand new car. horizontal-rule Actually we can apply this statistics and variable change concept in our daliy life; taking right decision in Interviews by setting aside our emotions and focus on simple Mathematics to take the right decision. Hope this might help! Pic source Screenshot from youtube. italic Edit Many are confused inment section so lets try to understand it in more simple way. By choosing a door you create two groups group A (your door) group B (the other door). The probability of car being in A is 33.3% (1) and probability of car being in B is 66.7% (2). This is for obvious reasons that host will open the wrong door on first place to make you decide (decision making). ( Initially when you choosed the door your probability of winning was 33.3%(1) andbined probability of other two door was 66.7% (1333.3%). italic Now after revealing third door which is empty you are down to two doors but they are still the same group A and B with same probability. When the host shows the door and it is empty that door probability shifts to the 2nd door (as initially they were havingbined probability) which is 66.7% (2). italic You should then pick group B as it has 66.7% (2) probability of hiding car. Lets take another example Suppose you are made to choose Ace of Spade from a deck of card. You randomly choosed one card. Your probability for winning bes (1). Now the host reveals each and every card and at last left with just one card which he places on table at side of your card. As the host knowingly eliminated the wrong card therefore the last card must have a probability of (51) of winning. Therefore you have a very high probability of winning in case you switch to his card. Hope this will help!