A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free. A juice is chosen at random. Given that the juice is sugar free, find the probability that it is apple juice.
There are 9 + 5 = 14 sugar free juices in the cooler. 9 of those are apple juice. Therefore, the conditional probability of getting apple juice given that the juice is sugar free is 9/14