Question

From a pack of playing cards, all black face cards removed, find the probability of drawing :i) A face card.ii) A red card.iii) A black card or a face card.

Answer 1

Total no of cards in a pack = 52
Total no of black face cards = 6
N(Sample Space) = 46

i) n (Face cards) = 6
P(Face Card) = 6/46 = 3/23

ii) n(Red Card) = 26
P (Red Card) = 26/26 = 1

iii) n(Black Card) = 20
n(Face Card) = 6
P(Black card or Face Card) = 26/46 = 13/23

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Answer 2

we know, there are six black face cards.
so, total number of remaining cards = 52 - 6 = 46.
so, total number of possible outcomes, n(S) = 46

(i) A face card :
favourable outcomes : there are only six face cards{red} are available in total cards.{e.g., Jack of Hearts, Jack of diamonds, Queen of diamonds, Queen of hearts, King of hearts, King of diamonds.}
probability = favourable outcomes/possible outcomes
= 6/46 = 3/23

(ii) A red cad :
favourable outcomes : there are 26 red cards . {13 - 13 cards of hearts and diamond suits }
so, probability = favourable outcomes/possible outcomes
= 26/46 = 13/23

(iii) A black card or a face card :
favourable outcomes : there are 20 black cards and 6 face cards { red face cards }
so, probability = favourable outcomes/possible outcomes
= (20 + 6)/46
= 26/46 = 13/23