A single card is drawn from a standard deck of cards. Find the probability if the given information is known about the chosen card. A face card is a jack, queen, or king.

Question

P(face card|king) 4/52

Thank you

Answer 1

Probability of the first one being a king is 4/52
probability of the first one being a face card = 12/52
the probability of the second one being a face card if the first was a king is 11/51

so if you mean probability of choosing a king, then a face card it is
4/52 * 11/51

Answer 2

If you mean conditional probability, meaning

P(Face|King), or probability of a face card given it is a king, then start with the definition of conditional probability:
P(A|B)=P(A∩B)/P(B)

P(Face|King)
=P(Face∩King)/P(king)
=(4/52)/(4/52)
= 1

A king is a face card, that is why
probability of a face card given it's a king equals 1.

Answer 3

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