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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)
The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y). Solution)(dy/dx) +x^2 = x^2*e^(3y) dy/dx=x 2 (e 3y -1) x 2 dx=dy/(e 3y -1) this is an elementar
The probability that a certain region in mexico will be hit by a hurricane in any given year is .06. What is the probability that the region will be hit by at least one hurricane i
R.2,4,6,8,10 B.8,10
Frequency Distribution or Variance Ratio Distribution This was developed by R. A Fisher in 1924 and is normally defined in terms of the ratio of the variances of two usually d
what are the applications of de moiver''s theorem in programming and software engineering
i need help in math
a. Write an exponential function that could model the information in this graph. b. Describe a business, scientific (not mathematical), or economic situation for what thi
COMMENT ON QUANTITATIVE TECHNIQUES IS A SCIENTIFIC AND FOR ENHANCING CREATIVE AND JUDICIOUS CAPABILITIES OF A DECISION MAKER
Find out the volume of the solid obtained by rotating the region bounded by y = x 2 - 4x + 5 , x = 1 , x = 4 , and the x-axis about the x-axis. Solution : The firstly thing t
Assume that (X, d) is a metric space and let (x1, : : : , x n ) be a nite set of pointsof X. Elustrate , using only the denition of open, that the set X\(x1, : : : , x n ) obtain
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