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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)
a lending library has a fixed charge for the first three days and an additional charge for each day thereafter. sam paid Rs 27 for a bookkept for 7 days while jaan paid Rs 21 for t
the adjacent sides of a parallelogram are 2x2-5xy+3y2=0 and one diagonal is x+y+2=0 find the vertices and the other diagonal
Need two equal fractions multiply and divide 1/6 3/4 5/15 2/7 20/25 24/36 4/9
Solve 9 sin ( 2 x )= -5 cos(2x ) on[-10,0]. Solution At first glance this problem appears to be at odds with the sentence preceding the example. However, it really isn't.
Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2 2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi
Arc Length for Parametric Equations L = ∫ β α √ ((dx/dt) 2 + (dy/dt) 2 ) dt Note: that we could have utilized the second formula for ds above is we had supposed inste
Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-
Function of a Function Suppose y is a function of z, y = f(z) and z is a function of x, z = g(x)
Q. Converting Mixed Numbers to Improper Fractions? Ans. Converting a mixed number to an improper fraction is easy. A single multiplication, and then a single addition:
Larry purchased 3 pairs of pants for $24 each or have 5 shirts for $18 each. How much did Larry spend? Divide the miles through the time to find the rate; 3,060 ÷ 5 = 612 mph.
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