Why is more likely to exactly one cross over to occur?

[jaunzaum]

Hello. I'm studying genetic linkage and the recombination frequency calculation (that is assumed to be directly proportional to allele distance) considers that only one cross over will take place. I know this is an estimation, but I want to know what the biological mechanism is that justify the probability that EXACTLY ONE crossover will take place.
In other words, what is the probability of no cross overs taking place, or a double cross over, or a triple cross over, and why are these probabilities lower than for a single crossover? And also, it is considered that all regions in the chromosome have the same chance to suffer a cross over, is this correct? If not, what are the most probable and the least probable sites and why?

[luc]

In many organisms, one cross-over per chromosome seems to be highly advantageous for proper segregation in meiosis. The tension building up when the chromosomes are pulled apart at the kinetochors/centromeres, while still being held together at crossovers, seems to be very beneficial for the proper orientation of the chromosomes and the timing of the processes.
In many organisms, the crossovers are skewed towards the distal, close to telomere, regions -- especially in males.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4012503/