A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting (i) a red king, (ii) a queen or a jack.
Total numbers of elementary events are: 52
(i) Let E be the event of drawing a card from pack of 52 card
Then, numbers of favourable outcomes are: 2 being hearts card or diamond cards being king in red colour.
∴ P (a red king) =P (E) = 2/52 = 1/26
(ii) Let E be the event of getting a queen or a jack
Let A be the event of getting a queen
Then, numbers of favourable events are: 4
P (queen) = P (A) = 4/52
Let B be the event of getting a jack
Then, the numbers of favourable event are: 4
P (jack) = P (B) = 4/52
∴ P (queen or jack) = P (E) = 4/52 + 4/52 = 8/52 = 2/13