WILL YOU BE VICTIM OF ACCIDENT OR HOMICIDE? STAY SAFE

In India, nearly 17 people per 100000 meet with fatal accident every year( Wikipedia). What is one's chance of survival here?
17 in 100000 can be written as 0.00017 - the probability falling victim to an accident. The probability of 'not falling victim' is 1-0.00017= 0.99983. Again what is your chance of 'not meeting with accident' in your life-time. (say 70 years) = (0.99983)^70 = .9882
What is the chance of falling victim in your life time?(Again reverse the probability)
That is 1-0.9882 = 0.0118 =1/85.
The chance is 1 in 85 for meeting a fatal accident in one's life span in India.
In UAE, there are only 4.4 victims per 100000. If you work out the same calculation, the chance of getting into accident will be very less there.

In the city of Sanpedrosula in Honduras about 160 people per 100000 fall victim to homicide. If you work out in the same way, the chance is 1 in 9. If this remained constant over a time, one may never leave the city. In US, the chance of falling to homicide is 1 in 285.

The statistics attributes value to the event. It helps us to make decisions. And one can take calculated risk. Select safe place and work. stay safe.
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The total or maximum probability is one. Suppose the probability of failure is 0.2. The the probability of success will be 1-0.2 = 0.8

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LISSAJOUS FIGURES

Definition: "When a particle is subjected to two sine wave motion or two oscillatory motion at right angles, the particle describes lissajous figures". We know sine wave motion and circular motion is basically same. Hence we draw two circles A and B perpendicular to each other. The circle B rotates twice faster than circle A. That is, frequency of circle B is two times than that of A. A particle at the intersection of two circles is subjected to two sine wave motion A and B at 90 degree simultaneously. The particle will describe figures depending on the frequency and phase of A and B . In our case, the ratio of frequency is 1:2 and the two waves are in phase. To draw lissajous figures : A moving point in both the circles are chosen. Here we should remember; during the time taken by the circle A to complete one rotation, circle B completes two. Hence the points are marked on the circles according to their speed. Then straight lines

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. Inverted parabola shape is used in the construction of buildings and bridges. Because the shape is able to bear more weight. A plane

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 'Pay out per round\. The probability for a win = p The pay-out in case of win = V No. of rounds = n The expect

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