The National - "Heavenfaced"

Song from  one of the trailers of the "The Theory of Everything"

Breathing Through The Nose

I found out that I have been breathing through the mouth which seems to be the case for quite a few people. From quite a few articles I have read, there could be dangers from breathing through the mouth so today I have been trying to  breathe more  through the nose.

While exercising, it seems difficult at first but I heard  it does improve later.



Here are some of the articles I  have read

http://www.myfaceology.com/2012/02/mouth-breathing-and-how-it-affects-your-health/
http://fitness.mercola.com/sites/fitness/archive/2013/12/27/proper-exercise-breathing.aspx


Updated:
Here is an article which states otherwise about breathing  while running.
http://www.outsideonline.com/1783831/should-i-breathe-through-my-nose-or-my-mouth

Conditional Probability

http://www.mathsisfun.com/data/probability-events-conditional.html

I have always found probability to be a tricky subject.. A tree diagram helps in dealing with more than one event but in  a single event, things can be different as  can be seen in one of the solutions from Khan Academy, World of Maths below:-

 Let A be the event that the first die is 1 and B be the event that the dice sum to 3. We can find P(B | A) by finding all of the outcomes where the sum of the dice is 3, given that the first die is 1. There is only 1 outcome that meets these conditions, and there are 6 total outcomes where the first die is 1,

Therefore, P(B | A)=16.

The video below appears to be dealing with more than one event.

    Calculating conditional probability: