Archives for Math - Page 2
Single Event Probabilities
Binomial Random Variable - and Probability of SINGLE event happening more than once (multiple heads in a coin-toss etc.) Whenever you have a variable that can take on two possible…
Joint Event Probabilities
See also ‘Single Event Probabilities’ The probability of a 'joint' event - drawing a white ball followed by two black balls (from a jar containing 7 white and 5 black…
Open sets and limit points
A set $A$ is open iff for every point $a\in A$, there exists a $\delta$ such that the neighborhood $\left(a-\delta,a+\delta\right)$ surrounding $a$ is completely contained within (is a subset of)…
The Monty hall problem, Quantum Games
The original problem Three doors, a prize behind only one door (say, a new car). Other two doors are each hiding a goat. Contestant has to pick a door –…
Prove that there are a countable number of intervals (in R) with rational endpoints
Counting Elements versus Counting Intervals The interval is one interval, is another and so on. Start with one end-point Just count the left end points of . Now for a…
Math Problem Books
Math Problem Books (Also read - Physics Books for self learning) How often have you stared at a math (or physics) problem, unsure of where to begin? Most math books…
Some Math Paradoxes
A Logical Paradox – The British Air Force Bombing Paradox The British Airforce announces that it will bomb the city sometime during this week; but at an unpredictable date. Why…
Income Inequality–GINI index
A number that ranges from 0 to 1 – to capture the Income inequality for a COUNTRY. By itself, the number means little, but in comparison with other countries, can…
Write computer programs to learn physics and math
Where I grew up, we were taught math the hard way. We HAD to struggle through problems. No matter how complex or convoluted the problem was, it was almost a…
Statistical Fallacies and Probability Teasers
Under construction Stock Trading - Incorrect Probability Conclusion Stock can either go up , down or stay still. Hence, probability of any one stock going down is 1/3 rd. Soldiers…