PROBABILITY-THREAD BARE

If you toss a coin, the chance of getting a "head" is 50%. That is , chance is 1/2 or 0.5 ( That means, if a coin is thrown 2 times, you will likely to get one head or if you toss the coin 100 times, you are likely get 50 heads ) . The probability of getting any one (head or tail) is 100% or 1. The probability of getting no head and no tail is zero. Hence the limits of probability are 0 (no chance) and 1 (guaranteed). The chance of drawing " king of diamond" from a deck of cards is 1/52. The chance of rolling a 'Three' in a dice game is 1/6 (since six faces). Thus goes the probability.

Can a child, a monkey or a blind folded man (without the knowledge of typewriting ) type a word or two correctly? Can a computer write a poem? let us see.

Let us take two words NO and YES. What is the chance of typing 'N' randomly. We know , it is 1/26. The chance of typing 'O' is also 1/26. Then, what is the chance of typing N and O consequently. The multiplication rule in statistics says, it is 1/26 * 1/26 = 1/676. It means, if you type 676 times randomly on your keyboard, you will get a 'NO' at some instant. For 'YES" the chance is 1/26 *1/26 * 1/26 = 1/17576, it will take longer to get an 'YES'

Machine can type in random manner fast. With proper rules (algorithm), they can coin words, sentences or even poem.

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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, ...

THE PARABOLA

A jet of water shooting from a hose pipe will follow a parabolic path. What is the so special about parabola. Y= x^2 Draw a graph for the above equation. It will result in a parabola. This parabola is also called unit parabola. Any equation involving square will yield a parabola. Example: Y = 2x^2 +3x+3 (also called quadratic equation) X= 2 and -2, both satisfies the equation 4 = X^2. Parabolic equations always have two solutions. Any motion taking place freely under gravity follows parabolic path. Examples: An object dropped from a moving train, A bomb dropped from flying plane, A ball kicked upwards. If a beam of light rays fall on the parabolic shaped mirror, they will be reflected and brought to focus on a point. This fact is made use of in Dish Antenna, Telescope mirrors, etc. ...

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 ...

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