Stage: 3 and 4 Challenge Level: 
Try out the Pascal Multiples downloadable file.
It's an ordinary Pascal's Triangle array but shows the multiples of any number up to 20.
Try to account for the patterns you observe.
Conditional probability. Approximate solution by numerical methods.. Mathematical modelling. Random variables. Spreadsheets. Experimental probability. Summation of series. Probability distributions, expectation and variance. Theoretical probability. Tree diagrams.
Published January 2003.
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email: nrich@damtp.cam.ac.uk
