Neco Model Questions Vol1 2021 Civic Education Question 26

A citizen has three civic responsibilities: paying taxes, voting in elections, and serving on a community committee. If the citizen fails to fulfil one responsibility, the probability of being fined is (0.2); if two responsibilities are unfulfilled, the probability is (0.5); if all three are unfulfilled, the probability is (0.9). The citizen decides independently whether to fulfil each responsibility. The probability of fulfilling the voting responsibility is twice that of fulfilling the committee responsibility, and the probability of fulfilling the tax responsibility is three times that of fulfilling the voting responsibility. Given that the overall probability of being fined is (0.34), find the probability that the citizen fulfills the voting responsibility.