Probability (angolul)
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Definíció (alapfok)
Probability measures how likely an event or outcome is.
It is usually shown as a success fraction - the number of ways an event could happen compared to the total number of events that could happen - and is written:
It is usually shown as a success fraction - the number of ways an event could happen compared to the total number of events that could happen - and is written:
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Definíció (középfok)
A way of measuring the chance that something will happen; if the same experiment is done a very large number of times, the probability of a particular outcome is the proportion of times that it happens.
Definíció (középfok)
For a given random experiment and a given event E, if we perform a sequence of trials of the experiment and let r(E) = [number of times E occurs/number of trials in the sequence], then we would expect that as the number of trials in the sequence increases, r(E) will approach a value p(E) which is called the probability of event E.
If E is the whole sample space, then r(E)=1 for every sequence of trials, so p(E)=1.
In general, the probability of an event is equal to the sum of the probabilities of the outcomes corresponding to the event. If the event is E corresponding to n outcomes with probabilities pi, then p(E) = ∑i=1 n pi
If E is the whole sample space, then r(E)=1 for every sequence of trials, so p(E)=1.
In general, the probability of an event is equal to the sum of the probabilities of the outcomes corresponding to the event. If the event is E corresponding to n outcomes with probabilities pi, then p(E) = ∑i=1 n pi
Kapcsolatok
- Bővítés:
- (en) Applicable mathematics
- (en) Attribute taking continuous values
- Szűkítés:
- (en) Boole's inequality
- (en) Calculation of probability
- (en) Conditional probability
- (en) Elementary probability
- (en) Evens
- (en) Expectation
- (en) Gambler's ruin
- (en) Hitting probability
- (en) Likelihood
- (en) Probability in a uniform sample space
- (en) Probability of impossible event
- (en) Probability of intersection
- (en) Probability of sure event
- (en) Probability of union
- (en) Significance level
- (en) Tchebychev's Theorem
- Hivatkozás:
- (en) Choose
- (en) Random experiment
- (en) Sample space
- Erre hivatkozik:
- (en) Chance
- (en) Equally likely
- (en) Odds
- (en) P
- (en) prob
- (en) Random process
- (en) Strong law of large numbers
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