One card is drawn from well-shuffled deck of 52 cards. Find the probability of getting (i) a king of red suit, (ii) a face card, (iii) a red face card, (iv) a queen of black suit, (v) a jack of hearts, (vi) a spade.

Total numbers of elementary events are: 52

(i) Let E be the event of getting a king of red suit


Then, the favourable numbers of outcomes are: 2


P (king of red suit) = P (E) = 2/52 = 1/26


(ii) Let E be the event of drawing a face card


The favourable outcomes are: 4 cards of jack, 4 cards of queen and 4 cards of king


Then, the numbers of favourable outcomes are = 12


P (face card) = P (E) = 12/52 = 6/26 = 3/13


(iii) Let E be the event of drawing a red face card


The favourable outcomes are: 2 red cards of jack, 2 red cards of queen and 2 red cards of king


The number of favourable outcomes = 6


P (red face card) = P (E) = 6/52 = 3/26


(iv) Let E be the favourable event of drawing a queen of black suit


The numbers of favourable outcomes are: 2


P (black suit queen) = P (E) = 2/52 = 1/26


(v) Let E be the event of drawing a jack of heart


The number of favourable outcome is: 1


P (jack of heart) = P (E) = 1/52


(vi) Let E be the event of drawing a spade


The numbers of favourable outcomes are: 13


P (spade) = P (E) = 13/52 = 1/4


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