Question

One card is drawn at random from a well - shuffled deck of 52 cards. Find the probability that the card drawn is (i) a king, (ii) a red eight, (iii) a spade, (iv) a red card, (v) the six of the clubs and (vi) a face card. Select the correct answer from above options

Answer 1

Total number of all possible outcomes = 52. (i) There are 4 kings in all. `:. ` P(drawing a king) = ` 4/52 = 1/13`. (ii) There are 2 red eights in all. `:. ` P(drawing a red eight) ` = 2/52 = 1/26`. (iii) There are 13 cards of spades. `:. ` P(drawing a spade) ` = 13/52 = 1/4`. (iv) There are 26 red cards. ` :. ` P(drawing a red card) ` = (26)/(52) = 1/2`. (v) There is one six of the clubs. `:. ` P(drawing the six of the clubs) ` = 1/52`. (vi) There are 12 face cards. `:. ` P(drawing a face card) = `12/52 = 3/13`.