SOLUTION: How do you solve: Two cards are drawn, without replacement, from a standard 52-card deck. Find the probability that the first card is a face card and the second card is black.

Algebra ->  Probability-and-statistics -> SOLUTION: How do you solve: Two cards are drawn, without replacement, from a standard 52-card deck. Find the probability that the first card is a face card and the second card is black.       Log On


   

Question 371930: How do you solve:
Two cards are drawn, without replacement, from a standard 52-card deck. Find the probability that the first card is a face card and the second card is black.
Thank you!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
J,Q,K are the face cards, there are 12 in the deck.
.
.
.
P%28F%29=12%2F52=3%2F13
.
.
P%28B%29=26%2F51 if the face card is red.
P%28B%29=25%2F51 if the face card is black.
.
.
P%28F%2CB%29=%283%2F13%29%2826%2F51%29=6%2F51if the face card is red.
P%28F%2CB%29=%283%2F13%29%2825%2F51%29=75%2F663if the face card is black.
P%28F%2CB%29=6%2F51%2B75%2F663=78%2F663%2B75%2F663=153%2F663=51%2F221