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cdux
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Say I have the probability of something happening in period of a day. How am I going to tackle finding the probability of it happening in a period 7 days? Statistical independence of events or not.
No. q^7 comes from the intersection of independent events.cdux said:does that derive from a union of independent events?
mathman said:If they are independent it is easy. Let p = prob(event in one day), q=1-p. Then the prob of not happening in seven days is q^7, so prob happening at least once in 7 days is 1-q^7.
Actually (1- 0.9)^3= 0.001.cdux said:Then how is (1-0.1)^3 = 0.729
and (1-0.9)^3 = 0.01 (only)?
(assuming an event of 0.1 (and it not happening of 0.9))
shouldn't they be equivalent? (their addition leading to 1)
EDIT: Oh, it may be I guess that the closer to 1 a probability is, the more likely to occur[in subsequent runs] in an exponential fashion, whereas the closer to 0, the less likely in a reversely exponential fashion.
Probability over a period of time is the likelihood or chance of a certain event occurring within a specific timeframe. It takes into account the probability of an event happening at any given moment during the period of time.
Regular probability only considers the likelihood of an event happening at a specific moment, while probability over a period of time takes into account the probability of the event happening at any point during the designated time period.
To calculate probability over a period of time, you would need to multiply the probability of the event occurring at any given moment during the time period by the length of the time period. This gives you the overall probability of the event happening within the designated timeframe.
Yes, probability over a period of time can change if the probability of the event happening at any given moment changes or if the length of the time period changes. It can also change if new information or variables are introduced.
In scientific research, probability over a period of time is often used to analyze and predict the likelihood of certain events occurring within a given timeframe. It can also be used to compare the probability of different events happening over the same period of time.