What is the probability that a card drawn at random from a pack of 52 cards either a king or a spade?


A) 17/52

B) 4/13

C) 3/13

D) 13/52

Correct Answer:
B) 4/13

Description for Correct answer:
Required probability = \( \large\frac{3}{52} + \frac{13}{52} = \frac{16}{52} = \frac{4}{13} \)
[Hint 13 / 52 because there are 13 spades and 3 / 52 instead of 4 / 52 (there are four kings) because one king is already counted in spades.]

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Comments

Probability of event A(card being king) = 4/52 Probabily of event B(card being spade) =13/52 As events A and B are dependent events( there is possibility of king of spade) P(A or B) = P(A) +P(B) -P(A and B) (venn diagram union formula) Answer= 4/52 + 13/52 -1/52 = 16/52
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