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Why do you find the sample space for an experiment to find the probability of an even?
You do not need to but it can help to identify all the possible outcomes so that you don't miss any out (by mistake).
What does it mean for a probability to be fair?
A probability is fair if there is no bias in any of the possible outcomes. Said another way, all of the possible outcomes in a fair distribution have an equal probability.
Can a binomial experiment be used to find the probability of 4 outcomes of .20 and 16?
If the question is about 4 successful outcomes out of 16 trials, when the probability of success in any single trial is 0.20 and independent of the outcomes of other trials, then the answer is, yes, the binomial experiment can be used.
What differentiates a probability from a probability distribution?
A probability indicates the likely-hood that a particular event occurs out of a set number of observations or measurements. A probability distribution allows relative comparison of probability of an event with any other possible event.
How did theoretical probability get its name?
The theoretical probability of an event is the probability that is calculated on theoretical considerations. This normally entails modelling the experiment and then employing the laws of science to determine the event space and the probabilities of the outcomes. For example, suppose you wish to determine the theoretical probability of getting the number 5 when you roll a normal die. There are 6 possible outcomes. If the die is fair then each of these outcomes is equally likely. Therefore the probability of any particular number - for example, 5 - is 1/6.
