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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.
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.
Is the classical probability useful now?
Yes.
What type of probability is when it uses sample spaces to determine the numerical probalitiy that an event will happen?
Classical Probability!
Is the probability that it will rain tomorrow is 28 percent an example of classical probabilityor empirical probability or subjective probability?
Subjective based on information given
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.
How do you assign numerical values to indicate the probability of an event?
There are three main methods for assigning probabilities Following the classical definition of probability Using relative frequencies Using subjective probability
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.
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.
What is the density matrix?
The density matrix refers to the quantum mechanical analogue to a phase space probability measure in the classical statistical mechanics.
What does it mean when you say every toss is at 50-50 odds?
100
A CD rack has 8 classical cds 5 pop cds and 3 rock cds two cds are chosen without replacement. what is the probability of choosing a rock CD then a classical CD?
3/16 * 7/15 = 21/240
