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InterviewSolution
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A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:(i) a spade(ii) a black card(iii) the seven of clubs(iv) jack(v) the ace of spades(vi) a queen(vii) a heart(viii) a red card |
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Answer» (i) A spade Total numbers of cards are 52 Total number of spade cards = 13 Probability of getting spade is = Total number of spade cards/Total number of cards = 13/52 = 1/4 ∴ Probability of getting a spade is 1/4 (ii) A black card Total numbers of cards are 52 Cards of spades and clubs are black cards. Number of spades = 13 Number of clubs = 13 Total number of black card out of 52 cards = 13 + 13 = 26 Probability of getting black cards is = Total number of black cards/Total number of cards = 26/52 = 1/2 ∴ Probability of getting a black card is 1/2 (iii) The seven of clubs Total numbers of cards are 52 Total number of the seven of clubs cards = 1 Probability of getting the seven of clubs cards is = Total number of the seven of club cards/ Total numbers of cards = 1/52 ∴ Probability of the seven of club card is 1/52 (iv) Jack Total numbers of cards are 52 Total number of jack cards = 4 Probability of getting jack cards is = Total number of jack cards/ Total numbers of cards = 4/52 = 1/13 ∴ Probability of the jack card is 1/13 (v) The ace of spades Total numbers of cards are 52 Total number of the ace of spades cards = 1 Probability of getting ace of spade cards is = Total number of ace of spade cards/ Total numbers of cards = 1/52 ∴ Probability of the ace of spade card is 1/52 (vi) A queen Total numbers of cards are 52 Total number of queen cards = 4 Probability of getting queen cards is = Total number of queen cards/Total numbers of cards = 4/52 = 1/13 ∴ Probability of a queen card is 1/13 (vii) A heart Total numbers of cards are 52 Total number of heart cards = 13 Probability of getting queen cards is = Total number of heart cards/Total numbers of cards = 13/52 = 1/4 ∴ Probability of a heart card is 1/4 (viii) A red card Total numbers of cards are 52 Total number of red cards = 13+13 = 26 Probability of getting queen cards is = Total number of red cards/Total numbers of cards = 26/52 = 1/2 ∴ Probability of a red card is 1/2. |
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