MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
Two fair six–sided dice, each numbered 1 to 6, are rolled together and the numbers appearing on the top faces are observed.
(i) State the total number of ordered pairs in the sample space.
(ii) Calculate the probability that the sum of the two numbers is 8.
(iii) Calculate the probability that the product of the two numbers is divisible by 3.
(iv) Find the probability that either the sum is 8 or the product is divisible by 3. (Do not assume the events are mutually exclusive; use counting to justify your answer.)