(A single fair die is thrown repeatedly according to the situation described below.)
MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
(A single fair die is thrown repeatedly according to the situation described below.)
(i) Define a complementary event. Give one illustration using the outcome set of a single throw of a fair die.
(ii) Let A be the event “at least one six appears when the die is thrown three times.” Describe in words the complementary event A′ without using set notation.
(iii) Using only the axioms of probability and your description in part (ii), explain why P(A)+P(A′)=1 even when the exact numerical values of the probabilities are not calculated.