STRENGTH OF PASSWORD

First, let us take a 4-digit PIN. Let us also assume that a man is attempting to steal it. To get the first digit right, he has to try all the 10 digits (0--9) and 'one' will be correct. So the chance of getting correct first digit, is 1/10. The ' Multiplication rule in probability' says that the chance of getting all the four digits right is 1/10*1/10*1/10*1/10 = 1/10000. It means, if he makes 10000 tires, at one instant he will get the correct PIN. But the bank allows only 3 tries and limited time. So the PIN is safe as long as you keep it safe.

Now our financial transactions depends on the password. Let us see, how to strengthen the password.

Let us consider a 7 character password which can take alphabets and numerals. The total number of characters is 26+10= 36. The chance of getting any one character right is 1/36. As usual, the chance of getting all the seven characters right is 1/36*1/36*1/36*1/36*1/36*1/36 *1/36 = 1/36^7 = 1/ 78364164096. So the chance getting correct password is almost negligible. If you increase the length of the password and add more special characters to the password, its strength increases. It is difficult to break it.

The mathematics behind the PIN and the passwords is strong. So handle them with confidence and care. An example : STRONG password @2018.

Comments

THE EARTH, A SUPER ORGANISM

JOIN MY COURSE: "Become a programmer in a day with python" A man called 'love lock' (what a name) proposed a theory called Gaia theory, named after Greek Goddess. It says, "Earth is a self-regulating organism like a human being. The organic life in it interacts with in-organic matter and maintains atmosphere, temperature and environment". Hence the earth is still suitable for the life to thrive. Imagine, in a particular place, there are lot of flowers. Some flowers are white and some are darkly coloured. We know, white reflects light and heat while dark absorbs the same. White flowers can thrive in hot climate. But dark flowers requires cold climate. The absorption and reflection balances and the environment reaches average, warm temperature at which both the flowers can co-exist. This is the essence of "Gaia" theory. On our earth, ...

DISORDER IS THE "ORDER OF THE DAY"

Imagine a balloon full of air. The air molecules are moving randomly inside the balloon. Let us pierce the balloon with a pin. The air rushes out. Why should not the air molecules stay inside the balloon safely and ignore the little hole? That is not the way the world works. The molecules always "want to occupy as many states as possible". Hence the air goes out in the open to occupy more volume. The things always goes into disorder (entropy) and the disorder increases with time. The above statement is what we call "second law of thermodynamics". Consider a cup of coffee on the table. Suppose the heat from entire room flows to your cup of coffee, the coffee will boil and the rest of the room will freeze. Freezing means bringing things to order and arrangement. It violates the second law. Hence it will never happen. Hence heat must flow from high ...

CASINO'S GAME

Let us find out how the casino survives with mathematics. Say, your friend invite you for a game of dice. You must bet (wager) 2 dollars. If you roll 'six' you will get back 8 dollars. The game will go on for 30 rounds. All sounds good. The probability of rolling 'six' is 1/6. Since the game will be played for 30 times, the 'expected win' is 30*1/6 = 5. That is, you are expected to win 5 rounds out of 30. Hence your gain will be 5 * 8 =40 dollars. ok. This also implies that you will loose 25 rounds. Hence your loss will be 25*2 =50 dollars. Your net gain will be gain-less = 40-50 = -10 dollars. For 30 rounds, the loss is -10 dollars, Hence, for one round =-10/30 = -1/3 dollars. There will be a loss of -1/3 or 0.33 dollars per round. It is not a fair game. Let us make a simple formula to calculate 'Pa...

sciencecapsules

Search This Blog