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


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