What is the probability of duplication of a private network ID?
Although the total range of values is large, calculations of the probability of duplication in making a selection of truly random values from the full range yield the following results: • Within 10 random selections, there is a probability of duplication of 0.18% • With 23 random selections, there is a probability of duplication of ~1%. • There is a 10% probability of duplication within a selection of 72 numbers; • There is a 50% probability of duplication within a selection of 185 numbers; • There is a 99% probability of duplication within a selection of 476 numbers. From this it may be concluded that there is, for example, a 10% chance that mis-operation due to OpID duplication may occur if there are 72 (otherwise identical) base stations closely located such that their associated MSs may see signals from all the other BSs.
