MathDB
probability even a^b + c generates as a result of an even number

Source: OLCOMA Costa Rica National Olympiad, Final Round, 2013 Shortlist LRP2 day1 (LRP = Logical Reasoning Probability)

September 26, 2021
probabilityconsecutivenumber theory

Problem Statement

From a set containing 66 positive and consecutive integers they are extracted, randomly and with replacement, three numbers a,b,ca, b, c. Determine the probability that even ab+ca^b + c generates as a result .