In a management class of 100 students' three languages are offered as an additional subject viz. Hindi, English and Kannada. There are 28 students taking Hindi, 26 taking Hindi and 16 taking English. There are 12 students taking both Hindi and English, 4 taking Hindi and English and 6 that are taking English and Kannada. In addition, we know that 2 students are taking all the three languages.
I) If a student is chosen randomly, what is the probability that he/she is not taking any of these three languages?
ii) If a student is chosen randomly, what is the probability that he/ she is taking exactly one language?

Draw a Venn Diagram with three sets, one for Hindi, another for English and one last for Kannada. Make them intersect and put them all into a big square.

Fill in it using the data given and tell us what you get.

Probability is given by the number of students taking a particular language(s) over the total number of students.