SOLUTION: Two cards are drawn from a standard deck of 52 where the first card is NOT replaced before the second card is drawn. Find the probability that both cards are face cards (jack, quee

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Question 474158: Two cards are drawn from a standard deck of 52 where the first card is NOT replaced before the second card is drawn. Find the probability that both cards are face cards (jack, queen, or king).
a. 9/2704
b. 9/676
c. 11/221
d. 9/169
Pick a card from a deck of cards, keep it and select a second card. If Event A is the selection of the first card and Event B is the selection of the second card, Events A and B are:
a. dependent
b. independent
c. neither dependent nor independent

Found 2 solutions by edjones, ewatrrr:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
There are 12 face cards
12C2/52C2
=66/1326
=11/221
.
dependent because you can't get the card drawn in event A.
.
Ed

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Two cards are drawn from a standard deck of 52 where the first card is NOT

 replaced before the second card is drawn

P(2 facecards) = %2812%2F52%29%2A%2811%2F51%29 =%28+3%2F13%29%2A+%2811%2F%283%2A17%29%29 = 11/13*17 = 11/221



Event A is the selection of the first card(which is kept) and 

Event B is the selection of the second card.

 Event A and Event B are dependent events

 (1st card drawn and kept..effects the availability of cards remaining)