What part of the world are you in? If you're talking about the united states replacing the president with a king, that is impossible. There is no probability of the united states getting a king.
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The probability that a standard deck of 52 cards does not contain a king is 0.
The probability of getting a king in a one card draw from a deck of 52 cards is .077 or 1 chance in 13. The probability of getting a king and one other specific denomination, such as a queen, is .154, or one chance in between 6 and 7.
The probability of tossing a coin and getting heads is 0.5
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Probability of getting a head or tail is not equal