MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A fair six-sided die is thrown once. Consider the statements given below about the outcome of the throw.
(i) For each statement, state whether the corresponding event is certain, impossible, or neither. Give a brief reason for every answer.
(A) The number obtained is less than 7.
(B) The number obtained is greater than 8.
(C) The number obtained is an even prime number.
(ii) Explain, without performing any numerical calculation, how the size of the sample space supports your answers in part (i).
(iii) Let F be the event "getting a number less than 7". Write the complementary event F′ in words and state its probability.