Analyzing multidimensional input

Hi,

In a recent experiment that I am performing, I have three independent parameters and one outcome that depends on this set of parameters. So from my understanding, I can map these three parameters into a three dimensional space. What I am trying to do is to map the change of these values to a particular probability value i.e. if a point in the space lies above a particular plane, then I have certain probability of that outcome occurring. But because this is a complex task, I was wondering if it is possible to transform this data into a 2 dimensional space and then do a similar thing. Does anyone have any suggestions for me please?

Thanks