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There are a number of online sites which contain free math problem solvers. The web domains "Basic-Mathematics" and "Mathway," for example, are good resources.
None that I ever heard of. But there are people who solve problems.
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There are several free math problem solvers, many of which can handle basic word problems. One example is at basic-mathematics.com, but it looks like there are some at algebra.com and intmath.com, and several other sites. Remember that software like this can have glitches just like any other software, and that you have to understand the basics of math in order to enter your problems correctly, so don't trust the programs blindly.
The Monty Hall Problem is an example that shows people are not always good at correctly estimating probabilities. To be fair, the problem is sometimes describedpoorly. The problem is obviously related to the theory of probability, in mathematics.