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The difference between experimental probability and theoretical probability is that experimental probability is the probability determined in practice. Theoretical probability is the probability that should happen. For example, the theoretical probability of getting any single number on a number cube is one sixth. But maybe you roll it twice and get a four both times. That would be an example of experimental probability.

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14y ago
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9y ago

In experimental probability the probabilities of the outcomes are calculated as the proportion of "successful" outcomes in repeated trials. In theoretical probability these are calculated on the basis of laws of science being applied to a model of the experiment.

For example, to find the probability of rolling a six on a standard die, you could roll the die many times (N) and count the number times that it comes up 6 (n). The experimental probability is n/N. The theoretical approach would be to work from the principle that each outcome was equally likely - since it is a fair die - and since the total probability must be 1, the probability of any one face must be 1/6.

The second method will only work if there is a good mathematical model.

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8y ago

The difference between theoretical probability and experimental probability is that theoretical probability is more of a CHANCE, and experimental probability is when you actually TEST it.

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10y ago

experimental probability involves conducting numerous amounts of trials of an experiment and theoretical is determining that a certain outcome will occur through reasoning and calulation.

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10y ago

Check out the related link to learn about the differences between experimental and theoretical probability.

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Q: What is the difference between experimental and theoretical probability?
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How well do you understand the difference between empirical and theoretical probability?

I know it extremely well. Thank you for asking.


What does probability of an event mean?

Probability is the likelihood, expressed in numerical or ratiometric terms, that an event will occur. A probability of 1 means that the event will occur. A probability of 0 means that the event will not occur. A probability of 0.5 means that the likelihood of the event occurring is equal to the likelihood of it not occurring. For instance, a fair coin has a 0.5 probability of being heads, and a 0.5 probability of being tails. Defined formally, probability is the number of permutations of the desired outcome divided by the number of permutations of all possible outcomes. Take a standard six-sided die, for instance. There are six permutations. One of them is a 1, so the probability of rolling a 1 is 1 in 6, or about 0.1667. Probability is not assured. If you roll a die 600 times, you will not necessarily get 100 1's. Over the long run, you will approach that outcome, but each trial will have different results. This is the difference between theoretical probability and experimental probability - theoretical being the mathematical estimate - experimental being the observed results.


What is the difference between probability and actuality?

probability is a guess and actuality is what will happen


How would you compare theoretical probability and experimental probability for getting three heads to the theoretical probability. would you expect the probabilities to be equal .?

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.


The difference between the theoretical and empirical probability?

The term empirical means "based on observation or experiment." An empirical probability is generally, but not always, given with a number indicating the possible percent error (e.g. 80+/-3%). A theoretical probability, however, is one that is calculatedbased on theory, i.e., without running any experiments.Since there is no theory that will calculate the probability that an area will experience an earthquake within a given time frame, the 90% figure is an empirical probability, presumably based on data of major earthquakes in the San Francisco area over past years.

Related questions

What is alike between experimental and theoretical probability?

They are probabilities: that is, estimates of the likelihood of an event happening.


What is the relationship between experimental and theoretical probability?

expiremental: finding the answer by observing it lots of times.. theoretical: its like a theory,, you just guess!!~ <3


What is the difference between theoretical probability and empirical probabilities?

empirical probability is when you actually experiment with it and get data values, and theoretical probability is when you use math to make an educated guess.


What is the difference between empirical and theoretical probability?

Empirical anything is what is observed. Theoretical is a calculation of what things ought to be.


What are the factors that affected the difference between theoretical and experimental values?

mostly, how good your theory is. Remember, experimental values are from reality.


What is the difference between experimental and theoretical physics?

When theoretical physicists work on equations and don't test their hypothesis, experimental physicists test their hypothesis and verify their conclusion. Usually theoretical physicists work on things like black holes and string-theory when experimental physicists work on Newtonian laws.


How well do you understand the difference between empirical and theoretical probability?

I know it extremely well. Thank you for asking.


Similarities between experimental and experimental probability?

They are exactly the same


What is the difference between mathematical probability and experimental probability?

Mathematical probability is how many times something is projected to occur, where as experimental probability is how many times it actually occurred. For example, when discussing the probability of a coin landing heads side up... Mathematical probability is 1:2. However, if you actually carryout an experiment flipping the coin 5 times the Experimental probability may be 2:5


What does a negative percent of the difference mean between experimental and theoretical probabilities of a given event?

First, it is important to note that it is very unlikely that the experimental and theoretical probabilities will agree exactly. As an extreme example, if you toss a coin an odd number of times, the resulting experimental probability cannot possibly be exactly 1/2. It should be easy to see that this remains true even if the coin is tossed googleplex+1 number of times.A negative difference could be because the number of trials was too small and, with an increased number of trials, the experimental probability would gradually increase towards the theoretical probability.It is also possible that the theoretical model is wrong. You may have assumed that the coin that was being tossed was fair when it was not. Or there were some factors that you failed to take full account of in your theoretical model.Or, of course, it could be a mixture of both.First, it is important to note that it is very unlikely that the experimental and theoretical probabilities will agree exactly. As an extreme example, if you toss a coin an odd number of times, the resulting experimental probability cannot possibly be exactly 1/2. It should be easy to see that this remains true even if the coin is tossed googleplex+1 number of times.A negative difference could be because the number of trials was too small and, with an increased number of trials, the experimental probability would gradually increase towards the theoretical probability.It is also possible that the theoretical model is wrong. You may have assumed that the coin that was being tossed was fair when it was not. Or there were some factors that you failed to take full account of in your theoretical model.Or, of course, it could be a mixture of both.First, it is important to note that it is very unlikely that the experimental and theoretical probabilities will agree exactly. As an extreme example, if you toss a coin an odd number of times, the resulting experimental probability cannot possibly be exactly 1/2. It should be easy to see that this remains true even if the coin is tossed googleplex+1 number of times.A negative difference could be because the number of trials was too small and, with an increased number of trials, the experimental probability would gradually increase towards the theoretical probability.It is also possible that the theoretical model is wrong. You may have assumed that the coin that was being tossed was fair when it was not. Or there were some factors that you failed to take full account of in your theoretical model.Or, of course, it could be a mixture of both.First, it is important to note that it is very unlikely that the experimental and theoretical probabilities will agree exactly. As an extreme example, if you toss a coin an odd number of times, the resulting experimental probability cannot possibly be exactly 1/2. It should be easy to see that this remains true even if the coin is tossed googleplex+1 number of times.A negative difference could be because the number of trials was too small and, with an increased number of trials, the experimental probability would gradually increase towards the theoretical probability.It is also possible that the theoretical model is wrong. You may have assumed that the coin that was being tossed was fair when it was not. Or there were some factors that you failed to take full account of in your theoretical model.Or, of course, it could be a mixture of both.


What is the relationship between relative frequency and theoretical probability?

5746


Difference between practical and theoretical grammar?

What is the difference between practical and theoretical grammar? I am Russian , i would like to get to know about theoretical grammar more?