Neco 2025 Civic Education Question 31

Given that the population is divided into three age groups: youths (15‑35) 40 %, adults (36‑60) 45 %, and seniors (61+) 15 %. In the last election, 55 % of youths voted, 78 % of adults voted and 62 % of seniors voted. For community service, 30 % of youths participated, 45 % of adults participated and 50 % of seniors participated. Assuming voting and community service are independent within each age group, calculate the overall percentage of the total population that performed at least one of these civic responsibilities (voted or participated in community service). Express your answer to one decimal place. Use \(p_{\text{none}} = (1-p_{\text{vote}})(1-p_{\text{service}})\) and \(p_{\text{at\;least\;one}} = 1-p_{\text{none}}\).