Forgetting the context for a second, the overall question is how to compare data that is expressed in a probability.

Scenario 1: Let us say there are two events A and B. The rules are:

- A (union) B = 1

- A (intersection) B = 0

- Probability of A or B is dependent on a dollar amount. Depending on the amount, the probability either A or B happens changes. For e.g. @20,000 chance of A is 80%, then B is 20%.

Scenario 2: we have A, B, and C.

- A (union) B (union) C = 1

- A (intersection) B or C = 0

- Probability dependent on dollar amount. Same as above.

- A and B in scenarios 1 and 2 are same but their probabilities of happening are changed due to the introduction of C.

QUESTION: How can I compare the probability of the events in these two scenarios?

Possible solutions I was thinking of:

1) A is X times as likely to happen as B, then I could plot all events as a factor of B on the same graph to get a sense of how likely all events are compared to a common denominator (event B)

2) Could also get a "cumulative" probability of each event as area under the curve and express as a % or ratio. So if A occupies 80% of the area under the curve, then B should be 20%, so overall A is four times as likely, and similarly in scenario 2.

3) Maybe the way to compare is to take the complement of each event separately, and express as a percentage at each point and graph them.

Any help is greatly appreciated. Please refer to attached pic for some visual understanding of the question as well. I am making a lot of assumptions, which are not true (as concerned with the graphs etc), but theoretically, I am interested in knowing. Thank you!