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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)
Determine or find out if the following series converges or diverges. If it converges find out its value. Solution We first require the partial sums for this series.
Stratified sampling In stratified sampling case the population is divided into groups in such a way that units in each group are as same as possible in a process called strati
Example of Integration by Parts - Integration techniques Some problems could need us to do integration by parts many times and there is a short hand technique that will permit
what is 0.875 of 2282?
What percent of the figure below is shaded? Break the rectangle into eighths as shown below. The shaded part is 6/8 or 3/4; 3/4 is 75%.
How far will a bowling ball goes in one rotation if the ball has a diameter of 10 inches? (π = 3.14) 1. 78.5 in 2. 31.4 in 3. 62.8 in 4. 15.7 in 2. The circumfere
Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
Keith wants to know the surface area of a basketball. Which formula will he use? The surface area of a sphere is four times π times the radius squared.
How to raise Powers of Monomials ? To raise a monomial to a certain power: Step 1: Place the entire monomial inside parentheses, and place the desired power outside the paren
2.5 in\ \/
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