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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)
Lisa was assigned 64 pages to read for English class. She has ?nished of the assignment. How many more pages must she read? If Lisa has read 3/4 of the assignment, she has 1/4
predict whether there is a relationship between the mean January temperatures of a city in North America and the city''s position west of the prime meridian.
Laws of Set Algebra From the given Venn diagram where T is the universal set and A its subset that we can deduce a number of laws as: i. A υ Ø = A ii. A υ T = T
Calculus with Vector Functions In this part we need to talk concisely on derivatives, limits and integrals of vector functions. Like you will see, these behave in a quite pred
If the following terms form a AP. Find the common difference & write the next 3 terms3, 3+ √2, 3+2√2, 3+3√2.......... Ans: d= √2 next three terms 3 + 4 √ 2 , 3 + 5√ 2 ,
what the answer to 1/4+1/3=3/12=?
Calculate the slope of the line: Example: calculate the slope of the line whose equation is y = 2x + 3 and whose y-intercept is (0,3). Solution: y =
Explain this statement " As we begin the 21st century, the dilemmas of America's minority groups remain perhaps the primary unresolved domestic issue facing the nation." How might
DISTINCT EIGENVALUES -SYSTEM SOLVING : E xample Solve the following IVP. Solution : Therefore, the first thing that we must to do that is, get the eigenvalues
Subtraction - Vector arithmetic Computationally, subtraction is very similar. Given the vectors a → = (a 1 , a 2 , a 3 ) and b → = (b 1 , b 2 , b 3 ) the difference of the t
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