A card is drawn at random from a well-shuffled standard deck of 52 playing cards.
MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
A card is drawn at random from a well-shuffled standard deck of 52 playing cards.
(i) What is meant by the complementary event of a given event in probability theory?
(ii) List the complementary event to “the card drawn is a heart.”
(iii) Calculate the probability that the card drawn is not a heart.
(iv) Verify that the probabilities of an event and its complement always add up to 1 for this situation.