Glitchless' sig
So I'm taking a basic statistics course and we are working with probabilities and it made me think of the formula in Glitch's signature (the probability of at least 1 of these occurring is P(A or B or....Z)=1-P(!A and !B and.....!Z)). I understand that the exclamation points are supposed to be taken to be symbols for 'not' as in not(A) etc...which means it's the chance of each to fail.
I learned in stats that the !A is called the compliment and that finding an 'and' as in 'both this and that' is found by multiplying the chances for 2 unique events. I learned of 2 rules for probabilities that are for the 'either/or' chances. First is the addition rule which is for mutually exclusive events and second is the general addition rule which is for non-mutually exclusive events, or, events which can intermingle. A 100% chance is a certain probability and a 0% chance is an impossible one. My instructor taught us that for the chances of either of 2 non-mutually exclusive events occurring the formula is P(A)+P(B)-P(A&B) where P(A&B) describes a time when both A&B occur.
For Glitch's formula I'm wondering if it applies to non-mutually exclusive events or to something else I haven't yet covered in stats. In other words I want to know if the general addition rule would apply, and, if it does, if this particular formula is just inclusive of all possible events (the chance of one or more of them occurring) making it a complete formula or if it's something else.
HALP MEH PLOX!
|