In a class of 100 students, all like maths(M), 40 like phy(P), 60 like chem(C), 2 like maths only and Y students like all the three subjects. represent the inf

Question

In a class of 100 students, all like maths(M), 40 like phy(P), 60 like chem(C), 2 like maths only and Y students like all the three subjects. represent the information on a venn diagram and find the value of Y.  how many students like only two subjects? What is the probability of randomly choosing a student that likes only two subjects.

Answer 1

y= either 0, 1 or 2,

go with 2=y

2 only=96=40-2+60-2=38+58=96

Pr(2 only)= 96%