A structurewith a design life of 100 years is planned for a site where high-intensity earthquakes may occur with a return period of 50 yr. The structure is designed to have to have a 0.80 probability of not suffering damage within its design life. Damage effects between earthquakes are statistically independent.If the annual occurrence of high-intensity earthquakes at the site is modelled by a Bernoulli sequence, what is the probability of damage to the structure under a single earthquake?Calculate your answer to5decimal places.