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Classical probability theory is concerned with carrying out probability calculations based on equally
likely outcomes. That is, it is assumed that the sample space has been constructed in such a way
that every subset of the sample space consisting of a single element has the same probability. If
the sample space contains n possible outcomes (#S = n), we must have for all s 2 S,
P(fsg) =
1
n
and hence for all E S
P(E) =
#E
n
:
More informally, we have
P(E) =
number of ways E can occur
total number of outcomes
:
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What is prior classical probability?
When you throw a die, there are six possibilities. The probability of a number from 1 to 6 is 1/6. This is classical probability. Compare this with empirical probability. If you throw a die 100 times and obtain 30 sixes, the probability of obtaining a 6 is 30/100 or 0.3. Empirical probabilities change whereas classical probability doesn't.
What type of probability is when it uses sample spaces to determine the numerical probalitiy that an event will happen?
Classical Probability!
What are the Three Approaches to finding a Probability?
1. subjective probability (intelligent guess) 2. relative frequency (in percent) 3. classical probability (in decimal)
Difference between classical approach and relative approach of probability with example?
Classical approach has possible outcomes which are known with certainity ie sampling distribution is known. Relative approach is an approach in which probability values are based on historical interest.
What is the difference between relative frequency approximation of probability and the classical approach to probability?
Relative frequency approximation is conducting experiments and counting the number of times the event occurs divided by the total number of events. The classical approach is determine the number of ways the event can occur divided by the total number of events.
