A class of 120 students offers Mathematics and Biology as optional subjects
MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability
Problem
A class of 120 students offers Mathematics (M) and Biology (B) as optional subjects. It is found that 70 students have opted for Mathematics, 50 have opted for Biology and 30 have opted for both subjects.
(i) Write the numerical value of each of the following probabilities in fraction form:
(a) P(M) (b) P(B) (c) P(M∩B).
(ii) Calculate P(B∣M), the probability that a student studies Biology given that the student studies Mathematics.
(iii) Calculate P(M∣B), the probability that a student studies Mathematics given that the student studies Biology.