probability of face card and queen card

[sickplaya]

What is the probability of drawing a face card as the first card and then drawing a queen card as the second card from the deck of 52 cards? (There is no replacement of cards).

This is my attempt:
P(face and queen)=P(face) x P(queen given that a face card has been drawn)
=(3/13) x (4/51 + 3/51)
= 7/221

the 4/51 comes from the case in which the face card that was drawn was not a queen card and the 3/51 comes from the case in which the face card that was drawn was a queen card. I am just wondering if this answer is correct.

 

[arthur ohlsten]

1. there are 12 face cards, and a deck of 52 cards
probability of drawing a face card = 12/52
P= 3/13

2. there are 4 queens or 3 queens left, and a deck of 51 cards

if you did not draw a queen on the first tyr, but did draw a face card [8/52]of the time; then the probability isP=4/51

if you did draw a queen on the first try [4/52] then the probability is 3/51

(OR is + AND is x)

the total probability is
P= [8/52][4/51] +[4/52][3/51]
P=[ 8*4+4*3] /[52*51]
P=[8*3]/[13*51]
P=8/[13*17] answer

please check for errors
Arthur