A) \[\frac{1}{14}\]
B) \[\frac{12}{24}\]
C) \[\frac{1}{8}\]
D) \[\frac{1}{26}\]
Correct Answer: D
Solution :
Total number of cards in one deck of cards, \[n\left( S \right)=52\] Let \[{{E}_{1}}\]= Event of getting a king of red colour \[\therefore \,\,\,\,n\left( {{E}_{1}} \right)=2\] (\[\because \]In a deck of cards, 26 cards are red and 26 cards are black. There are four kings in a deck in which two are red and two are black) Probability of getting a king of red colour \[=\frac{n\left( {{E}_{1}} \right)}{n\left( S \right)}=\frac{2}{52}=\frac{1}{26}\]
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