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Answered 2014-04-13 12:13:09

You cannot determine the number of times an event will occur - unless its probability is 0 or 1.

In other cases, you can estimate the expected number of times it will occur. If the outcome of each trial is independent, then the expected number is the probability of the event occurring in one trial multiplied by the number of trials.

If the outcome of each trial is not independent then you need to develop a model that takes account of the dependencies.

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If the outcomes of repeated experiments are independent then, if you carry out the experiment n times and the probability of the event in each trial is p, then you would expect the event to occur n*p times.


If an action is repeated n times and a certain event occurred b times then the ratio b/n is called the relative frequency.Where as theoretical probability is used to determine the number of ways that the event can occur if an experiment is repeated a large number of times.


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Relative frequency approximation is conducting experiments and counting the number of times the event occurs divided by the total number of events. The classical approach is determine the number of ways the event can occur divided by the total number of events.


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Odds of A to B in favour of an event states that for every A times an event occurs, the event does not occur B times. So, out of (A+B) trials, A are favourable to the event. that is, the probability of A is A/(A+B).



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If the odds against are 8 to 1, that means on the average you expect it to not happen 8 out of 9 times, and happen the other 1 time out of 9. 1 out of 9 is 1/9 = 11.1% probability that the event willoccur.


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You need to know the probability of the event in question. Then the expected frequency for that event occurring is that probability times the number of times the experiment was repeated.


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The number 7 occurs once. The digit 7 occurs 20 times.


To me, the theoretical probability is what is termed the classical probability. This says the probability is the number of ways an event can occur divided by the number of possible events. Forexample, flip a coin. The theoretical probability for heads is 1/2. However, flip a coin 10 times and you will probably not get 5/10 (or 1/2). Doing the actual experiment to determine the probability is called relative frequency approximation.


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