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.
P(face card|king)
I came up with 12/52
Thank you
correct.
To find the probability of drawing a face card given that the chosen card is a king, you need to consider two things: the number of face cards and the number of kings in a standard deck of cards.
There are 12 face cards in a deck: 4 jacks, 4 queens, and 4 kings. So, the probability of drawing a face card is 12/52.
However, if we already know that the chosen card is a king, then we can only consider the number of face cards among the kings. Since there is only 1 king among the face cards, the probability of drawing a face card given that the chosen card is a king is 1/1, or simply 1.
Therefore, the correct probability is 1, not 12/52.