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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)
limit x APProaches infinity (1+1/x)x=e
The time in seconds that it takes for a sled to slide down a hillside inclined at and angle θ is where d is the length of the slope in metres. Find the time it takes to sli
Consider the function f(x) = x + 1/x 2 + 2x - 3. (a) Find f(2) and f(-2). (b) Find the domain of f(x). (c) Does the range include 1? Show your working. (d) Find and si
The Stefan-Boltzmann law can be employed to estimate the rate of radiation of energy H from a surface of copper sphere with radius = 0.15 ±0.01 m, as in H=AesT^4 where H is in watt
Consider two bags, A and B, with the following contents a) A single marble is drawn from each bag. What is the probability of getting a white marble out of Bag A and a red marb
Infinite limits : Let's now move onto the definition of infinite limits. Here are the two definitions which we have to cover both possibilities, limits which are positive infinity
In the National Hockey championship, there are 30 independent ice hockey teams. Every of the teams will play 82 official NHL games every year. Many teams will have to travel from t
15(4*4*4*4*+5*5*5)+(13*13*13+3*3*3)
What are the properties of Normal distribution? The normal curve is symmetrical when p=q or p≈q The normal curve is a single peaked curve The normal curve is asymptotic t
Peter was 60 inches tall on his thirteenth birthday. By the time he turned 15, his height had increased 15%. How tall was Peter when he turned 15? Find 15% of 60 inches and add
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