SOLUTION: 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 c

Algebra ->  Permutations -> SOLUTION: 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 c      Log On


   

Question 878950: 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|queen)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P(face card|queen) means "the probability that you draw a face card given you have drawn a queen"

That part "given you have drawn a queen" means it is 100% known that you pulled out a queen. This is "given" to you. It's assumed to be true.

Since all queens are face cards, this means drawing a queen tells us we also drew a face card.

So if we're guaranteed a queen, then we are guaranteed a face card.

Making P(face card|queen) = 1

A probability of 1 represents 100% which is absolution certainty.