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Maple worksheets on sets, counting and probability |
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Elementary mathematics topics:
- Getting started with Maple
- Enhancing Maple's colours
- Illustrating fractions
- Fractals
- Geometry
- Algebra and trigonometry
- Sets, counting and probability
- Miscellaneous worksheets
The following Maple worksheets can be downloaded.
They are all compatible with Classic Worksheet Maple 10.
An introduction to counting methods - count.mws
- The multiplication principle
- Arrangement of n things in a line
- General permutations of r objects taken from n
- Selections or combinations
An introduction to probability by simulation using random numbers - prob.mws
- Random numbers using: rand and rand(n..m)
- Simulation of flipping a coin: flipcoin.
- Rolling two dice and adding the two numbers
- Sample spaces for probability experiments
- Events and definition of probability
- More experiments with two dice
Sets and the addition formula for probabilities - sets.mws
- Sets
- The union and intersection of sets
- Complementation
- Disjoint sets and mutually exclusive events
- The addition formula for probabilities
- An example involving rolling two dice
Complete permutations - cpltperm.mws
- The letterbox problem - simple cases
- An inductive formula for the number L(k) of complete permutations
- A simpler inductive formula for L(k)
- The limiting value of the probability of a complete permutation
- Simulations for the experimental probability of complete permutations
- The inclusion-exclusion principle
- Using the inclusion-exclusion principle to obtain a formula for L(k)
- A procedure for constructing pictorial representations of complete permutations
