[Math] A card is drawn at random from a deck of ordinary playing cards. What is probability that it is a face, a king or a diamond

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A card is drawn at random from a deck of ordinary playing cards. What is probability that it is a face, a king or a diamond?

There are 52 possible outcomes Hence, 52 is the denominator of probability fraction. Can I say that there are 13 diamonds plus 3 kings that are not diamonds for a total of 16..?

Best Answer

A king is also a face card, so favorable outcomes $= 12$ face cards $+ 10$ "non-face" diamonds.