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Mia Tremblay
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Theoretical, experimental and subjective
1)Theoretical Probability (based on the possible chance of something to happen. Example.. if a coin is tossed, the THEORETICAL probability of getting a head will be 1/2.
2) Experimental Probability ( based on the number of possible outcomes by the total of number of trials. Example... If a coin is tossed 10 times and heads is recorded 6 times then, the EXPERIMENTAL probability for heads is 6/10 or 3/5.
3) Anxiomatic Probability ( based on the likelihood of an event or outcome occurring based on the occurrence of a previous event or outcome. Example... The probability of the event happening is P(E) = r/n and the probability of the event will not occur is P(E') = (n-r)/n = 1-(r/n) all together we can now say that P(E) + P(E') = 1
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The 3 types of probability are Classical, Relative Frequency Definition and Subjective Probability. You are most likely to be asked about Classical which involves taking the number of ways an event can occur and dividing it by the number of possible outcomes. An example would be the probability of getting a total of 7 when throwing 2 dice. There are 6 ways of getting a total of 7 and 36 possible outcomes. This gives a probability of 6/36 or 1/6
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The three types of probability are Theoretical Probability, Experimental Probability, and Axiomatic Probability.
There is theoretical, experimental and axiomatic
theoretical, experimental, axiomatic
The three types of probability are
1 - Theoretical
2 - Experimental/ Empirical
3- Axiomatic/ Subjective
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There are three major types of probabilities:
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Experimental Probability.
Axiomatic Probability.
impossible, certain, unsure
Theoretical, experimental and axiomatic
Three types of probability are: Theoretical probability, Experimental probability and Axiomatic probability.
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Theoretical Probability: This is based on mathematical theory. When flipping a coin, you would assume that each side is equally likely to land face-up. Therefore there is a 1/2 chance of getting heads.
Empirical Probability: If you repeatedly run a random process, you get a sense of the possible outcomes and their probabilities by working out their relative frequency over a long period of time, as the number of processes tends to infinity. If you repeatedly flip a coin, then the relative frequency of getting heads after flipping it a large number of times times would tend closer to 1/2 with each flip.
Subjective Probability: This is when you use a number between to represent your uncertainty in an outcome, which isn't based on mathematical theory or empirical evidence. It is based on your own experience or intuition.
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Theoretical Probability (Classical Probability):
Theoretical probability is based on the idea that all outcomes are equally likely. It is found by dividing the number of favourable outcomes by the total number of possible outcomes. For example, the chance of rolling a 3 on a fair six-sided die is 1/6.
Experimental Probability (Empirical Probability):
Experimental probability is determined by actually performing experiments or observations. It is calculated by dividing the number of times an event happens by the total number of trials. For example, if you flip a coin 100 times and it lands on heads 55 times, the experimental probability of heads is 55/100 = 0.55.
Axiomatic Probability (Subjective Probability):
Axiomatic probability is based on a set of basic rules or axioms. These rules form the foundation of probability theory, ensuring consistency in how probabilities are assigned. It doesn’t depend on experiments or equally likely outcomes but on following these fundamental principles.
The three main axioms are:
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