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.
Classical Probability!
1. subjective probability (intelligent guess) 2. relative frequency (in percent) 3. classical probability (in decimal)
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.
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.
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 :
Prior probability is the probability that is assessed before reference is made to relevant observations.
Yes.
Classical Probability!
Subjective based on information given
1. subjective probability (intelligent guess) 2. relative frequency (in percent) 3. classical probability (in decimal)
prioirandposterior dist
A posterior probability is the probability of assigning observations to groups given the data. A prior probability is the probability that an observation will fall into a group before you collect the data. For example, if you are classifying the buyers of a specific car, you might already know that 60% of purchasers are male and 40% are female. If you know or can estimate these probabilities, a discriminant analysis can use these prior probabilities in calculating the posterior probabilities. When you don't specify prior probabilities, Minitab assumes that the groups are equally likely.
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.
There are three main methods for assigning probabilities Following the classical definition of probability Using relative frequencies Using subjective probability
The probability of a boy is still 0.5 no matter how many prior children there are.
Archaic Greece
a fair and probability