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31% chance
The probability is 31/36.
The mean is 31.8, the median is 31 and the mode is 31.
The answer depends on what variable you are looking at: the sum, the product, the maximum, mean, median, range, and so on. The odds will be different.
If you mean chosing both cards - the odds are 1 in 169. If you mean chosing either a king or a queen - the odds are 1 in 13