Policy Pollsters is a market research firm specializing in political polls. Records indicate in past elections, when a candidate was elected, Policy Pollsters had accurately predicted this 80% of the time and was wrong 20% of the time. Records also show, for losing candidates, Policy Pollsters accurately predicted they would lose 90% of the time and was wrong only 10% of the time. Before the poll is taken, there is a 50% chance of winning the election.

If Policy Pollsters predicts a candidate will win the election, what is the probability that the candidate will actually win? If Policy Pollsters predicts that a candidate will lose the election, what is the probability that the candidate will actually lose?