MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
In a college, the probability that a randomly chosen student passes the Mathematics examination is 0.6 and the probability that the same student passes the Physics examination is 0.7. The probability that the student passes both examinations is 0.4.
(i) Find the probability that the student passes at least one of the two examinations.
(ii) Determine the probability that the student passes only Mathematics but not Physics.
(iii) Determine the probability that the student passes only Physics but not Mathematics.
(iv) Calculate the probability that the student fails in both examinations.