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Probability:!:, 1604845297988 (1), 1604845297988 (1), 1604845297988 (1),…
Probability:!:
Basic notation
Permutation and combination (P and C)
In a combination, the elements of a subset can be listed in any order. In a permutation, the elements of a subset are listed in a
specific
order.
Percentages
Ratios and fractions
purpose of probability
Probability provides information about the likelihood that something will happen. Allows insights into the future.
calculating the probability of an event NOT occurring
P(NO)=1-probability of the event occurs
relative frequency (aka experimental probability)
The number of times the event happens divided by the total number of trials. (experimental probability) is an estimate of probability. The probability of an event has a value from 0 to 1 and is written as a fraction, a decimal or as a percentage.
expected frequency
Expected frequency is the number of times we would expect an event to occur over a given number of trials that take place during an experiment. To find the expected frequency, we multiply the probability of that event taking place by the number of trials of the experiment.
sample space diagram
A sample space diagram is used to display all possible outcomes, this could be as a list or a table of values. Making a list of all possible outcomes is known as enumeration.
P(a)*P(b)=P(a&b) => Probability of two things happening together = the multiplication of individual probabilities
!P(a) = 1-P(a) => Chance of not happening = 100% - Chance of happening
Probabilities are only used for prediction and does not necessarily reflect real-world results. For example if you have a 1% chance of winning the lottery it does not mean you would definitely win if you try 100 times
