Pre Script: If you are a normal person, please dont read forward.
Well Hi math folks. I know you guys are not normal. Who can call a person who is intersted in maths normal?
By the way my whole of MTech project was in maths. I had almost 150 new equations in my project thesis, revolving around probability and linear algebra. Now what I am working on is noway remotely linked to maths. So in order to use my talent which is not a common commodity, I have applied my mathematical skills to find whether I will have love marriage or arranged marriage. So here goes the analysis.
Let A be an event which represents Arranged marriage and L be an even which represents love marriage.
In Indian context, we can say that A and L are mutually exclusive.
ie P(A int L) =0 —-(1)
For the sake of simplicity, let us consider that I will definitely get married.
So P(A U L)=1 —-(2)
Using (1), we can easily deduct that
P(A)+P(L)=1 —-(3)
Eq (3) is very important in the context that just by finding the probability of Love marriage, we can find the probability of Arranged marriage and vice versa.
Let us calculate the probability of Love marriage.
For love marriage to happen, I should fall in love with a girl and the same girl should fall in love with me.
Let us declare a variable M to signify the event I am falling in love with a girl.
Similarly, let us declare a variable G to signify the event that a girl is falling in love with me.
As explained before, for love marriage, I should fall in love with a girl and the same girl should fall in love with me.
So with this representation, we can easily deduce that
P(L)=P(M int G) —-(4)
Eq (4) can be expanded as
P(L)=P(M/G)*P(G) —-(5)
Now there is no direct relation between M and G. So this can be solved by using constraints.
I know that I cant fall in love with a stupid girl. So let us represent stupid girl with the variable S.
There fore,
P(M/S)=0 —-(6)
And more over, if a girl is falling in love with me, she really is stupid.
ie
P(S/G)=1 —-(7)
ie
P(S int G)/P(G)=1 —-(8)
or P(S int G)=P(G) —-(9)
Eq (9) clearly specifies that G is a subset of S. Or in layman’s terms, not all Stupid girls will fall in love with me.
Now we have from Eq (6)
P(M/S)=0
Expanding, we get
P(M int S)/P(S)=0 —-(10)
or P(M int S)=0 —-(11)
As we have found above that G is a subset of S,
P(M int G) < P(M int S).
As from Eq (11), we have P(M int S)=0, we can deduce that
P(M int G)=0 —-(12) as the probability can’t be a negative value.
Using Eq (12) in Eq (4), we get
P(L)=0 —-(13)
So I can never get Love married.
Using the above equation in Eq (3), we get
P(A)=1.
So congrats mom, mine is Arranged marriage ![]()
But the above result also signifies that even if I get married, I and my wife cant love each other at the same time, as G is a subset of S. That means, I am royally screwed!!!!!
PS:int signifies intersection.
PS:If any one has any doubt in my proof, feel free to contact me.
PS:If any girl can understand this proof, then she can definitely become my lover. But according to the proof, she will not fall in love with me ![]()
PS:If you are a total geek, you would have found that Eq (5) is of no use in this proof.
Final PS: Man this post is way too Geeky!!!!! What is happening to me