Random Numbers Random numbers are numbers generated whose sequence have no pattern Most calculators are able to generate random integers via a command.

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Presentation transcript:

Random Numbers Random numbers are numbers generated whose sequence have no pattern Most calculators are able to generate random integers via a command such as randint (lower value, upper value)

Random Numbers and Simulation Random numbers can be used to simulate experiments affected by chance, or where all outcomes are equally likely

TI-30XB MultiView ™ Random Integer Command randint(a,b) On your TI-30XB MultiView™, do the following: Press  and then  to access the RAND menu Press 2 to select the randint( command Type randint(1,10) to generate a random integer between 1 and 10 inclusive Press  a few times to generate some extra random numbers You should see some random numbers generated.

Outcomes and Events In the two dice experiment, there are 36 possible outcomes Some of these outcomes will be associated with a particular event (eg. a sum of 3) In this case, we can say that the events 'a sum of 5’ and 'a sum of 3' are not equally likely

Experimental vs Theoretical Probability As the number of trials of an experiment becomes very large, we expect that the experimental probabilities (relative frequencies) of a particular outcome or event will approach their associated theoretical probability