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The theoretical probability of a given event is 9 13 explain what each number represents?
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The naive answer is that the random experiment (or trial) can be modelled theoretically. This model has 13 equally likely outcomes and that 9 of them are favourable to the event. That is, 9 out of 13 equally likely outcomes involve the event occurring.
A slightly more sophisticated explanation is that there are a multiple of 13 equally likely outcomes and the same multiple of 9 are favourable to the event under study. For example, the probability of randomly drawing a non-honour from a regular deck of cards. The total number of possible outcomes is 52 (= 13*4) and the number of favourable outcomes is 36 (= 9*4). The probability, 36/52 has then been simplified to 9/13.
This answer still assumes that each individual outcome is equally likely but that is not necessary. The experiment could involve trying to hitting one of two targets: a 2*2 and a 3*3 (in the same square units of length) targets. If anywhere in the two targets has the same probability, then the theoretical probability of hitting the bigger target is 9/(9+4) = 9/13.
Wiki User
∙ 9y ago
Wiki User
∙ 9y agoThe naive answer is that the random experiment (or trial) can be modelled theoretically. This model has 13 equally likely outcomes and that 9 of them are favourable to the event. That is, 9 out of 13 equally likely outcomes involve the event occurring.
A slightly more sophisticated explanation is that there are a multiple of 13 equally likely outcomes and the same multiple of 9 are favourable to the event under study. For example, the probability of randomly drawing a non-honour from a regular deck of cards. The total number of possible outcomes is 52 (= 13*4) and the number of favourable outcomes is 36 (= 9*4). The probability, 36/52 has then been simplified to 9/13.
This answer still assumes that each individual outcome is equally likely but that is not necessary. The experiment could involve trying to hitting one of two targets: a 2*2 and a 3*3 (in the same square units of length) targets. If anywhere in the two targets has the same probability, then the theoretical probability of hitting the bigger target is 9/(9+4) = 9/13.
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Why might experimental probability be different from theoretical probability?
There may not have been a sufficient number of experiments carried out. The experiments may not have been carried out properly. There may have been incorrect assumptions made in deriving the theoretical probability.
What is the experimental probability of rolling an even number?
The experimental probability of anything cannot be answered without doing it, because that is what experimental probability is - the probability that results from conducting an experiment, a posteri. This is different than theoretical probability, which can be computed a priori. For instance, the theoretical probability of rolling an even number is 3 in 6, or 1 in 2, or 0.5, but the experimental probability changes every time you run the experiment.
What is the theoretical probability of rolling a 5 on a number cube if it is rolled 300 times?
The theoretical probability of rolling a 5 on a standard six sided die is one in six. It does not matter how many times you roll it, however, if you roll it 300 times, the theoretical probability is that you would roll a 5 fifty times.
What is the theoretical probability of getting a 5 if a number cube is rolled 50 times?
It is approx 0.99989, that is, a near certainty.
How do you get if you roll a die 100 times how many times would you expect to get 1?
If you roll a die 100 times, you would expect to get a 1 about 17 times, because the probability of getting a 1 is 1 in 6, or 0.1667. However, that is theoretical probability; experimental probability - the actual results of doing this 100 times - might not be 17, but if you did this a large number of times, the experimental results would indeed begin to approach the theoretical results.
What is the definition of theoretical probability?
Theoretical probability is the probability of an event when all outcomes are equally likely. With theoretical probability, you determine the probability by dividing the number of ways the event can occur by the total number of equally likely outcomes.
How does the experimental result differ from the theoretical in terms of accuracy?
Provided that the correct model is used, the theoretical probability is correct. The experimental probability tends towards the theoretical value as the number of trials increases.Provided that the correct model is used, the theoretical probability is correct. The experimental probability tends towards the theoretical value as the number of trials increases.Provided that the correct model is used, the theoretical probability is correct. The experimental probability tends towards the theoretical value as the number of trials increases.Provided that the correct model is used, the theoretical probability is correct. The experimental probability tends towards the theoretical value as the number of trials increases.
How are experimental probability and theoretical probability related?
As the number of times that the experiment is conducted increases, the experimental probability will near the theoretical probability - unless there is a problem with the theoretical model.
What happens to theoretical and experimental probability when you increase the number of trials?
When you increase the number of trials of an aleatory experiment, the experimental probability that is based on the number of trials will approach the theoretical probability.
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
What happens to experimental probability as the number of trials increases?
The probability from experimental outcomes will approach theoretical probability as the number of trials increases. See related question about 43 out of 53 for a theoretical probability of 0.50
What is the theoretical probability of throwing a coin and it landing on heads?
Theoretical probability is the number of ways something can occur divided by the total number of outcomes. So, the theoretical probability of throwing a coin and it landing on heads is 1/2 or 0.5 or 50%.
What does thearetical probability?
Theoretical probability refers to the probability of an event occurring based on mathematical or theoretical calculations. It is determined by dividing the number of favorable outcomes by the total number of possible outcomes. Theoretical probability provides an idealized prediction of the likelihood of an event, assuming all conditions and variables are known and controlled.
What formula is used to find the theoretical probability of an event?
Expected successes= Theoretical Probability · Trials P(event) = Number of possible out comes divided by total number of possible
What is the definitions of a theoretical probability?
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.
Compare experimental and theoretical probability?
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).
What is the ratio of the number of ways an event can occur to the number of possible outcomes?
The term is probability (theoretical probability), or how likely a given event is to occur.
