The additive rule of probability is used to compute the probability for an intersection of two or more events: namely, given two events A and B, 
and also 
Definitions:
Reward
An offer of compensation for providing assistance, such as returning lost property or providing information leading to fulfilling certain conditions.
Offer
A proposal by one party to another intending to create a legally binding contract if accepted.
Accept
To agree to the terms of an offer or contract, creating a binding legal agreement.
Contract
An agreement legally binding between two or more entities, carrying reciprocal duties.
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