(i) Define the complement of an event in probability. (ii) State the rule that…
MATHEMATICS · Subjective · A Level · Mathematics · Probability · Probability
Problem
(i) Define the complement of an event in probability.
(ii) State the rule that connects the probabilities of an event and its complement.
(iii) A fair die is thrown three times. Explain, without performing detailed numerical calculations, why it is often more convenient to find the probability that at least one of the three outcomes is a 6 by first considering the event that no 6 appears in any throw. Illustrate your explanation by clearly identifying the two complementary events involved.