Wikipedia
probability complement : Sep 26, 2009 ... The support of a distribution is the smallest closed interval/set whose complement has probability zero. It may be understood as the points ..... More from Wikipedia
Example:
Consider the experiment of throwing a die. 2) Compound Event: If an event has more than one sample points, the event is called a compound event . In the above example, of throwing a die, {1, 4} is a compound event. 3) Null Event ( f ): As null set is a subset of S, it is also an event called..
Algebra of Events
In a random experiment, considering S(the sample space) as the universal set, let A, B and C be the events of S. We can define union, intersection and complement of events and their properties on S, which is similar to those in set theory. ii) A-B is an event, which is same as ''A but ..
In a random experiment, considering S(the sample space) as the universal set, let A, B and C be the events of S. We can define union, intersection and complement of events and their properties on S, which is similar to those in set theory. ii) A-B is an event, which is same as ''A but .. Free Math Help at Brightstorm! www.brightstorm.com How to use the complement to calculate the probability of a dice roll.
An example to show a basic probability calculation based on a CNN public opinion poll
Question : 14) Is it possible for an event to occur with probability 0 and with the probability of its complement equal to .999? Explain why or why not. Thank you in advance, btw(:
Answer : Ok, the answer is yes. Lets look at a couple of parts to this: 1) If the probability is 0, then it can not ever, ever, ever happen. No matter what! 2) The complement probability is .999 which means that the actual probability is > 0 although due to rounding, it is 0. An example could be a complement probability of .9997 would give us a probability of .0003 which is rounded to 3 digits is 0. So, the answer is that if the probability is only rounded to 0 (as it must be in this case) then the event *can* happen. Editted to add: Consider that you have 1,000 pennies and no dimes. The probability of pulling a dime out of that set is 0, and can not occur at all. You have 999 pennies and 1 dime. The probability of grabbing a dime is .001 which *could* be rounded to 0 but is still possible... More from Yahoo Answers
Answer : Ok, the answer is yes. Lets look at a couple of parts to this: 1) If the probability is 0, then it can not ever, ever, ever happen. No matter what! 2) The complement probability is .999 which means that the actual probability is > 0 although due to rounding, it is 0. An example could be a complement probability of .9997 would give us a probability of .0003 which is rounded to 3 digits is 0. So, the answer is that if the probability is only rounded to 0 (as it must be in this case) then the event *can* happen. Editted to add: Consider that you have 1,000 pennies and no dimes. The probability of pulling a dime out of that set is 0, and can not occur at all. You have 999 pennies and 1 dime. The probability of grabbing a dime is .001 which *could* be rounded to 0 but is still possible... More from Yahoo Answers
Question : I'm doing test corrections and I need to know what a complement in probability is, anybody know?
Answer : If the probability of something happening is 25% or 1 in 4 or .25, then the complement would be 75% or 3 in 4 or .75 respectively. The complement is everything else that could happen other than the event or proposition in question. The probability of the event or proposition and its complement must add up to 1... More from Yahoo Answers
Answer : If the probability of something happening is 25% or 1 in 4 or .25, then the complement would be 75% or 3 in 4 or .75 respectively. The complement is everything else that could happen other than the event or proposition in question. The probability of the event or proposition and its complement must add up to 1... More from Yahoo Answers
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