The document discusses a probability analysis related to slope stability in civil engineering, focusing on three potential failure surfaces: a, b, and c. The individual probabilities of failure for these surfaces are given as p(a) = 0.2, p(b) = 0.1, and p(c) = 0.05, assuming they are statistically independent. It poses the question of determining the overall probability of slope failure based on these individual probabilities.

1. Subject: Probability analysis in civil engineering
Problem 2. A slope has three potential failure surfaces, A, B, C. The probability of failure along
these three slip surfaces are P(A) = 0.2, P(B) = 0.1 and P(C) = 0.05. Suppose that the events of
failure along these three slip surfaces are statistically independent. What is the probability of
failure of the slope?