A survey of 400 senior-secondary students noted their preference for two subjects: M…
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A survey of 400 senior-secondary students noted their preference for two subjects:
M : "likes Mathematics"
P : "likes Physics".
The survey revealed that 0.58 of the students like Mathematics, 0.34 like both Mathematics and Physics, and 0.76 like at least one of the two subjects.
(i) Calculate the probability that a randomly chosen student likes Physics.
(ii) Find the probability that a student likes exactly one of the two subjects.
(iii) If two students are chosen independently at random, find the probability that at least one of them likes either Mathematics or Physics.