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GENERAL RULE
A general rule is to subtract the probabilities with an even number of components inside the parentheses and add those with an odd number of components (one or three) to arrive at the probability of events.
Example
Consider a bag containing 4 white and 5 black balls. A man draws 3 balls at random; let us see what is the probability that all three are black?
The total number of ways in which 3 balls can be drawn is 9C3and the number of ways of drawing 3 black balls is 5C3therefore the probability of drawing 3 black balls is given by
P(All three are black)
Equal-sharing - situations in which we need to find out how much each portion Multiplication and Division contains when a given quantity is shared out into a number of equal porti
develop any two linear equation which are reducible into linear form from our daily life by cross multiplication
Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
A Cleaning solution has 40% vinegar. Find the amount of vinegar in 32 ounces of the solution>
Sara's bedroom is within the shape of a rectangle. The dimensions are 2x and 4x + 5. What is the area of Sara's bedroom? Because the area of a rectangle is A = length times wid
A boy standing on a horizontal plane finds a bird flying at a distance of 100m from him at an elevation of 300. A girl standing on the roof of 20 meter high building finds the angl
alpha and beta are concentric angles of two points A and B on the ellipse.
Verify the Parseval theorem for the discrete-time signal x(n) and its DFT from given equations. Compute the linear convolution of the discrete-time signal x(n) ={3, 2, 2,1} and
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To begin with we have counting numbers. These numbers are also known as natural numbers and are denoted by a symbol 'N'. These numbers are obtai
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