MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A coin is tossed once and, independently, a fair die is rolled once.
(i) Calculate the probability of the event A: "The coin shows a head and the die shows an even number".
(ii) Calculate the probability of the event B: "The coin shows a tail or the die shows a multiple of 3".
(iii) Without converting the probabilities to decimals, compare P(A) and P(B) by expressing both probabilities as fractions with a common denominator.
(iv) State which event is more likely and by how much their probabilities differ.