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Expected successes= Theoretical Probability · Trials

P(event) = Number of possible out comes divided by total number of possible

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Q: What formula is used to find the theoretical probability of an event?
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What does it mean to find the probability of an event?

Read the introduction to probability and probability measures at StatLect.com


How do you find the theoretical probability of an outcome?

The first step is to find a model that adequately represents the situation. You then apply reasoning based on the laws of science, along with some assumption regarding the model, to find out how likely a given outcome is. That value is its theoretical probability.


How do you find probability using 4 colors of marbles?

The answer depends on the probability of WHICH event you want to find!


How do experimental probability and theoretical probability are related?

EXPERIMENTAL PROBABILITYExperimental probability refers to the probability of an event occurring when an experiment was conducted.)In such a case, the probability of an event is being determined through an actual experiment. Mathematically,Experimental probability=Number of event occurrencesTotal number of trialsFor example, if a dice is rolled 6000 times and the number '5' occurs 990 times, then the experimental probability that '5' shows up on the dice is 990/6000 = 0.165.On the other hand, theoretical probability is determined by noting all the possible outcomes theoretically, and determining how likely the given outcome is. Mathematically,Theoretical probability=Number of favorable outcomesTotal number of outcomesFor example, the theoretical probability that the number '5' shows up on a dice when rolled is 1/6 = 0.167. This is because of the 6 possible outcomes (dice showing '1', '2', '3', '4', '5', '6'), only 1 outcome (dice showing '5') is favorable.As the number of trials keeps increasing, the experimental probability tends towards the theoretical probability. To see this, the number trials should be sufficiently large in number.Experimental probability is frequently used in research and experiments of social sciences, behavioral sciences, economics and medicine.In cases where the theoretical probability cannot be calculated, we need to rely on experimental probability.For example, to find out how effective a given cure for a pathogen in mice is, we simply take a number of mice with the pathogen and inject our cure.We then find out how many mice were cured and this would give us the experimental probability that a mouse is cured to be the ratio of number of mice cured to the total number of mice tested.In this case, it is not possible to calculate the theoretical probability. We can then extend this experimental probability to all mice.It should be noted that in order for experimental probability to be meaningful in research, the sample size must be sufficiently large.In our above example, if we test our cure on 3 mice and all of these are cured, then the experimental probability that a mouse is cured is 1. However, the sample size is too small to conclude that the cure works in 100% of the cases.R\


When does something have a theoretical probability?

When you can find a model that satisfactorily captures the scientific laws behind all the possible outcomes of the trial.

Related questions

How do you find the probability of the complement of an event?

The probability of the complement of an event, i.e. of the event not happening, is 1 minus the probability of the event.


What is the theoretical probability of getting 4 tails out of ten throws?

theoretical probability is one half experimental probability is four tenths this is because to find theoretical probability you need to do number of outcomes you were looking for over the number of outcomes possible experimental probability is number of turns that were what you were looking for over the number of turns


How do you find experimental-probability?

To find the experimental probability of an event you carry out an experiment or trial a very large number of times. The experimental probability is the proportion of these in which the event occurs.


What does it mean to find the probability of an event?

Read the introduction to probability and probability measures at StatLect.com


What does it mean to find the compliment of the probability of an event?

The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.


How do you find the theoretical probability of an outcome?

The first step is to find a model that adequately represents the situation. You then apply reasoning based on the laws of science, along with some assumption regarding the model, to find out how likely a given outcome is. That value is its theoretical probability.


How do you find probability using 4 colors of marbles?

The answer depends on the probability of WHICH event you want to find!


What is the difference between experimental and theoretical probability?

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.


If the odds against an event are 9.8 find the probability that the event will occur?

Odds against A = Probabillity against A / Probability for A Odds against A = (1 - Probabillity for A) / Probability for A 9.8 = (1 - Probabillity for A) / Probability for A 9.8 * Probability for A = 1 - Probability for A 10.8 * Probability for A = 1 Probability for A = 1 / 10.8 Probability for A = 0.0926


What is the theoretical and experimental probability of tributes from districts 1.2.4 winning the hunger games?

The theoretical probability that a tribute from 1,2,4 will win the Hunger Games is 25% chance. To find the experimental probability you would have to know which tributes won in the last 75 hunger games to know there chance of winning in the future.


How can you use odd to find probability?

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).


How do experimental probability and theoretical probability are related?

EXPERIMENTAL PROBABILITYExperimental probability refers to the probability of an event occurring when an experiment was conducted.)In such a case, the probability of an event is being determined through an actual experiment. Mathematically,Experimental probability=Number of event occurrencesTotal number of trialsFor example, if a dice is rolled 6000 times and the number '5' occurs 990 times, then the experimental probability that '5' shows up on the dice is 990/6000 = 0.165.On the other hand, theoretical probability is determined by noting all the possible outcomes theoretically, and determining how likely the given outcome is. Mathematically,Theoretical probability=Number of favorable outcomesTotal number of outcomesFor example, the theoretical probability that the number '5' shows up on a dice when rolled is 1/6 = 0.167. This is because of the 6 possible outcomes (dice showing '1', '2', '3', '4', '5', '6'), only 1 outcome (dice showing '5') is favorable.As the number of trials keeps increasing, the experimental probability tends towards the theoretical probability. To see this, the number trials should be sufficiently large in number.Experimental probability is frequently used in research and experiments of social sciences, behavioral sciences, economics and medicine.In cases where the theoretical probability cannot be calculated, we need to rely on experimental probability.For example, to find out how effective a given cure for a pathogen in mice is, we simply take a number of mice with the pathogen and inject our cure.We then find out how many mice were cured and this would give us the experimental probability that a mouse is cured to be the ratio of number of mice cured to the total number of mice tested.In this case, it is not possible to calculate the theoretical probability. We can then extend this experimental probability to all mice.It should be noted that in order for experimental probability to be meaningful in research, the sample size must be sufficiently large.In our above example, if we test our cure on 3 mice and all of these are cured, then the experimental probability that a mouse is cured is 1. However, the sample size is too small to conclude that the cure works in 100% of the cases.R\