Sail E0 Webinar
Question

A card is randomly drawn from a deck of 52 cards. What is the probability getting either a King or a Diamond?
Options:
A .  $MF#%\dfrac{4}{13}$MF#%
B .  $MF#%\dfrac{2}{13}$MF#%
C .  $MF#%\dfrac{1}{3}$MF#%
D .  $MF#%\dfrac{1}{2}$MF#%
Answer: Option A

Answer : Option A

Explanation :

Total number of cards = 52
Total Number of King Cards = 4

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

Total Number of Diamond Cards = 13

$MF#%\text{P(Diamond) = }\dfrac{13}{52}$MF#%

Total Number of Cards which are both King and Diamond = 1

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

Here a card can be both a Diamond card and a King. Hence these are not mutually exclusive events.
, we have
P(King or a Diamond) = P(King) + P(Diamond) – P(King and Diamond)

$MF#%= \dfrac{4}{52} + \dfrac{13}{52} – \dfrac{1}{52} = \dfrac{16}{52} = \dfrac{4}{13}$MF#%



Was this answer helpful ?
Next Question

Submit Solution

Your email address will not be published. Required fields are marked *

Latest Videos

Latest Test Papers