A card is drawn from a well-shuffled pack of 2 cards. Find the probability of getting (i) a red face card, (ii) a black king.
Total numbers of elementary events are: 52
(i) Let E be the event of getting a red face card
Then, the numbers of favourable outcomes are: 6
Being 2 red cards of jack, 2 red cards of queen and 2 red cards of King
∴ P (red card) = P (E) = 6/52 = 3/26
(ii) Let E be the event of getting a black king
Then, the numbers of favourable outcomes are: 2
Being only 2 card of king are of black colour in pack of 52
∴ P (black king) = P (E) = 2/52 = 1/26