SOLUTION: Two cards are drawn without replacement from a ordinary deck, find the probability that the second is a face card, given that the first is not a face card.

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Question 949258: Two cards are drawn without replacement from a ordinary deck, find the probability that the second is a face card, given that the first is not a face card.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A-first card is not a face card
B-second card is a face card
P(A_and_B)=P(A)*P(B|A)
P(B|A)=P(A_and_B)/P(A)
There are 12 face cards in a standard deck.
P%28A%29=%2852-12%29%2F52=10%2F13
P%28B%29=12%2F51
P%28A_and_B%29=P%28A%29%2AP%28B%29=%2810%2F13%29%2812%2F51%29=40%2F221
So then,
P(B|A)=%2840%2F221%29%2F%2810%2F13%29
P(B|A)=highlight%2812%2F51%29