Question

One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king?
A. $\dfrac{1}{2}$
B. $\dfrac{6}{13}$
C. $\dfrac{7}{13}$
D. $\dfrac{27}{52}$

Answer 1

Hint: Probability of picking a card is the number of such cards divided by total number of cards. Cards favouring the event is the sum of red cards and kings other than those already counted with red cards.

Complete step-by-step answer:
Total number of cards in a pack = 52.
Total number of cards which favour the given event is the sum of red cards and kings (except red kings).
Number of red cards in a pack is 26.
Number of kings in a pack other than red kings is 4 – 2 = 2.
Therefore, the number of cards favouring the given is 26 + 2 = 28.
Probability that the card drawn either a red card or a king is $\dfrac{\text{Number of cards favouring the event}}{\text{Total number of cards}}$

& =\dfrac{28}{52} \\\ & =\dfrac{7}{13} \\\ \end{aligned}$$ Therefore, the answer is option (C) $$\dfrac{7}{13}$$. Note: Here we need to remember that number of cards in a deck = 52. In this question students may forget to exclude red kings and that will give the wrong answer.