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A home pregnancy test was given to women, then the pregnancy was verified through blood tests. The following table shows the home pregnancy test results. Notice how the rows indicate whether the woman was pregnant or not pregnant, and the columns indicate whether the home pregnancy test was positive or negative. And were asked to find the given conditional probabilities. Looking at our notes, the probability that event B occurs given that event A has happened is represented using this notation here, which is read the probability of B given A has occurred. We can also determine conditional probability using this formula here. But for our examples, itll be easier just to use the table. For our first example, were asked to find the probability the test was positive given the woman was pregnant. So because its given the woman was pregnant, were only concerned about the pregnant women, which are in this row here. Notice how 76 women were pregnant. And again, because were asked to find
