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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)
Differentiate y = x x Solution : We've illustrated two functions similar to this at this point. d ( x n ) /dx = nx n -1 d (a x ) /dx= a
The average age of a woman and her daughter is 16 years. The ratio of their ages is 7: 1. Then the woman''s age is
What is Geometry?
Example of Least Common Denominator: Example: Add 1/7 +2 /3 + 11/12 + 4/6 Solution: Step 1: Find out primes of each denominator. 7 = 7 (already is
a. Estimate the following model, C t = β 0 + β 1 * DI t + ε t Where C t = Aggregate Consumption Expenditure in Australia, quarterly data for the per
A bucket of height 8 cm and made up of copper sheet is in the form of frustum of right circular cone with radii of its lower and upper ends as 3 cm and 9 cm respectively. Calculate
I dont understand arcsin and arccos and how to find the domain...help?
The value of K for (k+1)x^2-2(k-1)x+1 = 0 has real and equal roots.
if two circles O and O''intersect in two points, A and B, the the line segment OO is what?
1. A psychologist developed a test designed to help predict whether production-line workers in a large industry will perform satisfactorily. A test was administered to all new empl
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