That one.
Theoretical probability:Theoretical probability is when you decide what is the probability of something using the information that is given to you!
There are no generic answers. The theoretical probability for rolling a die and tossing a coin will, obviously, be different. The theoretical probability of an event is calculated by finding a suitable model for the trial and then using scientific laws to determine the probabilities of its outcomes.
Experimental probability is obtained by repeatedly carrying out an experiment. It is the ratio of the number of favourable outcomes and the total number of experiments. Theoretical probability is calculated from a model of the experiment using the laws of physics or nature (or whatever).
When there is a good theoretical model for the experiment and the model allows you to identify all the factors affecting the outcome and determine their impact on the outcome. Even if you cannot identify all the factors, you can still use theoretical probability but the predictions from your model will be less reliable. Econometrics is a good example of using theoretical probability based on an incomplete understanding of the model.
Because there are many events whose outcomes cannot be determined. However, using probability it may be possible to make a good estimate as to the outcome.Because there are many events whose outcomes cannot be determined. However, using probability it may be possible to make a good estimate as to the outcome.Because there are many events whose outcomes cannot be determined. However, using probability it may be possible to make a good estimate as to the outcome.Because there are many events whose outcomes cannot be determined. However, using probability it may be possible to make a good estimate as to the outcome.
The probability distribution function.
Theoretical probability is determined by using scientific principles to determine the mechanism through which the required event occurs.
Theoretical probability:Theoretical probability is when you decide what is the probability of something using the information that is given to you!
There are no generic answers. The theoretical probability for rolling a die and tossing a coin will, obviously, be different. The theoretical probability of an event is calculated by finding a suitable model for the trial and then using scientific laws to determine the probabilities of its outcomes.
They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.
Experimental probability is obtained by repeatedly carrying out an experiment. It is the ratio of the number of favourable outcomes and the total number of experiments. Theoretical probability is calculated from a model of the experiment using the laws of physics or nature (or whatever).
When there is a good theoretical model for the experiment and the model allows you to identify all the factors affecting the outcome and determine their impact on the outcome. Even if you cannot identify all the factors, you can still use theoretical probability but the predictions from your model will be less reliable. Econometrics is a good example of using theoretical probability based on an incomplete understanding of the model.
Because there are many events whose outcomes cannot be determined. However, using probability it may be possible to make a good estimate as to the outcome.Because there are many events whose outcomes cannot be determined. However, using probability it may be possible to make a good estimate as to the outcome.Because there are many events whose outcomes cannot be determined. However, using probability it may be possible to make a good estimate as to the outcome.Because there are many events whose outcomes cannot be determined. However, using probability it may be possible to make a good estimate as to the outcome.
There are three main methods for assigning probabilities Following the classical definition of probability Using relative frequencies Using subjective probability
When you calculate the probability of an event without doing any experiments, it is called theoretical probability. It is based on mathematical calculations using known information and assumptions about the event.
A test using relative errors comparing a frequency table to the expected counts determined using a given probability distribution; the null hypothesis is that the given probability distribution fits the data's distribution.
I'm going to assume you're looking for the probability of getting three heads out of three coin spins and that you're using a fair coin. For coin spins, theoretical probability is very simple. The probability of getting three heads in a row is 1/2 * 1/2 * 1/2 = 1/8. This means that if you tossed a coin three times, you'd expect to see three heads once every 8 trials. For experimental probability you need to define clear trials, for this experiment you can't just spin a coin over and over and count the number of times you see three heads in a row, for example, if you threw the following: H T H H T T H H H H H T T H T T T you have three cases where you have three heads in a row, but they all overlap so these are not independent trials and cannot be compared to the theoretical result. When conducting your experiment, you know that if you get a T in your trial, it doesn't matter what comes after, that trial has already failed to get three heads in a row. The trial is deemed a success if you get three heads in a row, naturally. As a result, if you threw the above sequence, you would to determine your experimental probability in the following way: H T fail H H T fail T fail H H H success H H T fail T fail H T fail T fail T fail In this example we have 8 trials and one success, therefore the experimental probability is 1/8. The sample variance (look it up), however is also 1/8, meaning that all you really know is that the experimental probability could be anywhere between 0 and 1/4. The only way to get the variance down (and therefore reduce your confidence interval) is to perform more and more trials. It's unlikely for the theoretical probability and experimental probability to be EXACTLY the same but the more trials you do, the more the experimental probability will converge on the theoretical probability.