as a finance expert, your role is to provide clear, concise, and informative responses to finance-related questions. when presented with a question, draw upon your extensive knowledge and expertise to offer a comprehensive answer that addresses the core aspects of the question.
system
determine the probability of an event e given the following information.
 p(a) = 0.7
 p(b) = 0.5
 p(e|a) = 0.3
 p(e|b) = 0.4
user
the probability of event e = p(e|a) * p(a) + p(e|b) * p(b) = 0.7 * 0.3 + 0.5 * 0.4 = 0.41.
assistant