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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)
in triangle abc ab=ac and d is a point on side ac such that bc*bc=ac*cd. prove that bc=bd
Find out the tangent line(s) to the parametric curve specified by X = t5 - 4t3 Y = t2 At (0,4) Solution Note that there is actually the potential for more than on
prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.
r=asin3x
a math problem that involves the numbers $112 for 8 hours
Natureland garden center buys lawn mowers that list for $679.95 less a 30% discount. What is the dollar amount of the discount?
Consider the finite state machine whose state transition table is : Draw the graph for it. Ans: The graph for the automata according to the transition table is drawn b
Before we look at this, let us learn what a multiple is. Take any number say 3. Multiply this number with natural numbers. We obtain 3, 6, 9, 12, 15, 18,.........
calculate x+2+y=4
Example: Find out a particular solution to y'' - 4y' - 12 y = 3e 5t Solution The point here is to get a particular solution, though the first thing that we're going to
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