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This has to do with the union of events. If events A and B are in the set S, then the union of A and B is the set of outcomes in A or B. This means that either event A or event B, or both, can occur.
P(A or B) = P(A) + P(B) - P(A and B)
**P(A and B) is subtracted, since by taking P(A) + P(B), their intersection, P(A and B), has already been included. In other words, if you did not subtract it, you would be including their intersection twice. Draw a Venn Diagram to visualize.
If A and B can only happen separately, i.e., they are independent events and thus P(A and B) = 0, then,
P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B) - 0 = P(A) + P(B)
What else can I help you with?
What is the definition for probability sample?
A probability sample is one in which each member of the population has the same probability of being included. An alternative and equivalent definition is that it is a sample such that the probability of selecting that particular sample is the same for all samples of that size which could be drawn from the population.
What is the definition of probability in composite risk management?
science
What is the definition of theoretical probability?
Theoretical probability is the probability of an event when all outcomes are equally likely. With theoretical probability, you determine the probability by dividing the number of ways the event can occur by the total number of equally likely outcomes.
What is the definition for an equally likely outcome in the probability of an event?
http://www.emathzone.com/tutorials/basic-statistics/definition-of-probability.html
What is the experimental probability that the next toss and spin will result in 3 and tails?
The experimental probability, by definition, can only be determined after you have carried out the experiment!
What is the best definition for probability in geometry?
Since probability is not a geometric concept, there is no definition for it in geometry.
When the number is added to its additive inverse what is the sum equal to?
It is zero, by definition of additive inverse!
What is the sum of a fractional number and its additive inverse?
0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.
When a number is added to its additive inverse what is the sum equal to?
Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0) Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0)
True or false The' probability that it will rain today is 0.65 and probability that it will rain or snow is 0.55?
False; the "or" is an additive property so the probability of rain or snow muse be greater than or equal to 0.65.
What is the definition for probability sample?
A probability sample is one in which each member of the population has the same probability of being included. An alternative and equivalent definition is that it is a sample such that the probability of selecting that particular sample is the same for all samples of that size which could be drawn from the population.
What is the definition of additive inverses?
A pair of numbers whose sum is zero. The additive inverse of 10 is -10 because 10+(-10) = 0.
What is additive inverse of -2x?
The additive inverse of a number is the value that, when added to the original number, results in zero. In this case, the additive inverse of -2x would be 2x, since (-2x) + 2x = 0. This concept is based on the properties of addition and the definition of additive inverses in mathematics.
What is the definition of probability in composite risk management?
science
What is mathematical definition of random process?
Probability model
The word that goes to this definition a probability of 0 means the event is?
A probability of 0 means the event is impossible.
What is the probability of Saturday following Friday?
The probability is 1:1 (1 in 1) or 100% (by calendar definition).
