A political party in a certain country has three candidates A, B and C, of whom it will select one to run for presidency. The probabilities of selecting the three candidates from the political party are 25%, 25% and 50% respectively. If A is selected, he has a 40% probability of winning the presidency whereas the same probabilities are 50% and 80% for B and C respectively, provided they are selected. Suppose that the candidate from this party is selected as the president. Then, what is the probability that C has been selected as the candidate?
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