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Question

A card is randomly drawn from a deck of 52 cards. What is the probability getting an Ace or King or Queen?
Options:
A .  $MF#%\dfrac{3}{13}$MF#%
B .  $MF#%\dfrac{2}{13}$MF#%
C .  $MF#%\dfrac{1}{13}$MF#%
D .  $MF#%\dfrac{1}{2}$MF#%
Answer: Option A

Answer : Option A

Explanation :

Total number of cards = 52
Total number of Ace cards = 4

$MF#%\text{P(Ace) = }\dfrac{4}{52} = \dfrac{1}{13}$MF#%

Total number of King cards = 4

$MF#%\text{P(King) = }\dfrac{4}{52} = \dfrac{1}{13}$MF#%

Total number of Queen cards = 4

$MF#%\text{P(Queen) = }\dfrac{4}{52} = \dfrac{1}{13}$MF#%

Here, clearly the events of getting an Ace , King and Queen are , we have
P(Ace or King or Queen) = P (Ace) + P (King)+ P(Queen)

$MF#%= \dfrac{1}{13} + \dfrac{1}{13} + \dfrac{1}{13} = \dfrac{3}{13}$MF#%



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