Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that one of the cards is a face card (Jack, Queen, or King) and the other is a 9, and are these events independent?
A. 4/221; no, they are dependent events
B. 3/169; yes, they are independent events
C. 1/24; yes, they are independent events
D. 8/221; no, they are dependent events
I got 3/169 or B.
I don't know if they are independent or dependent
I come up with "A" 4/221 and they are dependent
There are 12 face cards......so
The probability of drawing one on the first draw = 12/52
And the probability of drawing a "9" on the second draw = 4/51
So the probability = (12/52) * (4/51) = 4/221
These are dependent events....let A be the probability of drawing a face card and let B be the probabilitiy of drawing "9'....then...
P (A ∩ B) = 0 in other words......there is no face card that is also a "9"
So...independent events have the relationship that
P(A ∩ B) must equal P(A) * P(B)...but
0 ≠ 4/221
So...... "A" is the correct answer