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Precalculus Chapter 4 Part 2

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Classiscal Probabilityuses sample spaces to determine the numerical probability that an event will happen. One does not actually have to perform the experiment to determine that probability.
Classical probablilty assumes that all outcomes in the sample space areequally likely to occur.
Equally likely eventsare events that have the same probability of occurring
Probabilities can be expressed asfractions, decimals, or-where appropriate-percentages
Strictly speaking, a percentis not a probability; However, probabilities are often expressed as percents
If decimals are converted to percentages to express probabilities,move the point two places to the right and add a percent sign.
There are ____ basic probability rulesfour
Probability Rule 1states that probabilities cannot be negative or greater than 1; The probability of any event E is a number (either a fraction or decimal) between and including 0 and 1. This is denoted by 0≤P(E)≤1.
Probability Rule 2If an event E cannot occur (i.e., the event contains no members in the sample space), its probability is 0.
Probability Rule 3If an event E is certain, then the probability of E is 1. In other words, if P(E) = 1, then the event E is certain to occur.
Probability Rule 4The sum of the probabilities of the outcomes in the sample space is 1.


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