Question

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.

Answer 1

D) 9/14

Explanation:

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

Answer 2

To me: given that the juice is sugar free means that I can ignore the 3 sugar apple juices and the 10 sugr grape juices.

Therefore the field of drinks is 14 sugar free drinks and the changes that it is apple juice, is 9:14 or 9/14.

If, on the other hand, the problem is saying that the juice must be sugar free and also apple, that would be 9/27 or 1/3