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Q: How can theoretical probability and experimental probability be the same?

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Theoretical probability is the probability of something occurring when the math is done out on paper or 'in theory' such as the chance of rolling a six sided dice and getting a 2 is 1/6. Experimental probability is what actually occurs during an experiment trying to determine the probability of something. If a six sided dice is rolled ten times and the results are as follows 5,2,6,2,5,3,1,4,6,1 then the probability of rolling a 2 is 1/3. The law of large numbers states the more a probability experiment is preformed the closer to the theoretical probability the results will be.

Experimental probability:experimental probability is when you actually experiment to see the results of a real life problemExample:There is a coin and you decide to toss it to see what were the results. Say you toss it 10 times but it lads on tails only 3 times but head on 7 times. So the experimental probability for tails is 3/10 and for heads it is 7/10.That is what experimental probability is.Mathematically:number of favorable trialstotal number of trialsTheoretical probability:theoretical probability is when you decide what will probably happen with the information given about the topicExample:You have a bag full of blocks. There are 3 red, 6 yellow, 1 pink, and 10 blue. The theoretical probability is this:(P)red = 3/20 (P)yelllow = 6/20 (P) pink = 1/20 (P)blue = 10/20Mathematically:number of favorable outcomesnumber of possible outcomes

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%.

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

5 out of 6 or 83.333%

Related questions

They are methods of obtaining the probability of an event.

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.

experimental probability

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.

Absolutely not. Experimental is practical and theoretically anything is possible.

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.

They are experimental probabilities.

Here is a website http://www.onlinemathlearning.com/theoretical-probability.html with relevant content on how you will solve for experimental and theoretical probability.

the experimental

Theoretical probability is what should occur (what you think is going to occur) and experimental probability is what really occurs when you conduct an experiment.

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

They are both measures of the probability of an event occurring.

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