Question

(b) Out of 200 students in an examination of class IX, 140 passed in Maths, 120 passed in Scien

40 failed in both subjects. Find the number of students who passed in both by using a Venn da​

Answer 1

P(A)= probability of who passed maths

=140/200

P(B)= probability of who passed Sci

= 120/200

P(A&B)=(140+120-200+40)/200

P(A|B)'=40/200

Answer 2

n(U)=200

n(M)=140

n(S)=120

n(MuS)complement=40

n(MuS)=n(U)-n(MuS)complement

=200-40

=160

n(MnS)=n(M)+n(S)-n(MuS)

=140+120-160

=260-160

=100