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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)
Method In this method we eliminate either x or y, get the value of other variable and then substitute that value in either of the original equations to
remainder theorem
Value Of The Game The game value refers to the average pay off per play of the game over an extended period of time
Probability of A is 85% Probability of B is 45% Probability A and B 56% What is the probability of not either A or B?
Find the present value of an ordinary annuity which has payments of 2300 per year for 15 years at 6% compounded annually
two circle of radius of 2cm &3cm &diameter of 8cm dram common tangent
1
what is the tenths place
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
Theorem, from Definition of Derivative If f(x) is differentiable at x = a then f(x) is continuous at x =a. Proof : Since f(x) is differentiable at x = a we know, f'(a
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