Two cards are drawn successively without replacement from a well-shuffled standard…
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
Two cards are drawn successively without replacement from a well-shuffled standard deck of 52 playing cards. Let B be the event "both cards drawn are red". Using clear reasoning, answer the following:
(i) Find P(B).
(ii) Hence, determine the probability that the two cards drawn are not both red.
(iii) Comment on how the use of the complement in part (ii) simplifies the calculation compared with direct counting of all non-favourable outcomes.