Q.1

1A. Suppose that the class registrations of 200 students are analysed. M is

event that students take Mathematics, H is event that students take History, and E is

event that students take English subject. Referring to the Venn diagram, Find the

following Probabilities.

a. Find the values of x and y.

b. If a student is chosen at random from those who take neither History nor English,

what is the probability that he or she does not take Mathematics either?

c. If one of the students who take at least two of the three courses is chosen at random, what is

the probability that he or she takes all three courses?

25 200 M H 7 31 X 18 11 74 V m