The number of students in each are as follows:
English Composition - 14
Chemistry - 29
Both - 5
In order to know the number of students in English Composition only and Chemistry only it would be the number of students taking it minus 5:
English Composition ONLY - 14 - 5 = 9
Chemistry ONLY - 29 - 5 = 24
Both - 5
The number of students in the group is 9 + 24 + 5 or 38.
The probability of randomly choosing a student only taking chemistry would be:
24/38 = 12/19
12/19 is the probability.