A single card is drawn from a standard deck of cards. Find the following probabilities. A face card is a jack, queen, or king.
P(face card | queen) =
P(three | not a face card) =
See:
http://www.jiskha.com/display.cgi?id=1337811808
To find the probability of an event, we need to divide the number of favorable outcomes by the total number of possible outcomes.
In a standard deck of cards, there are 52 cards. Out of these, there are 4 queens, which are face cards.
Therefore, the probability of drawing a face card given that the card is a queen is:
P(face card | queen) = Number of face cards (3) / Number of queens (4)
P(face card | queen) = 3/4
Next, we need to find the probability of drawing a three given that the card is not a face card. To do this, we need to determine the number of non-face cards, which are the cards that are not jacks, queens, or kings. There are a total of 12 face cards (4 jacks + 4 queens + 4 kings), leaving 40 non-face cards.
Therefore, the probability of drawing a three given that the card is not a face card is:
P(three | not a face card) = Number of threes (4) / Number of non-face cards (40)
P(three | not a face card) = 4/40
P(three | not a face card) = 1/10