Question

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

Answer 1

i got B but i need help to see if i did it right @Directrix

Answer 2

can you help ?? @Mehek14

Answer 3

i think its independent

Answer 4

what do you think?

Answer 5

ohhhh okay so what do i do now

Answer 6

How many face cards are in the deck?

Answer 7

3 different types ( jack, queen, and king ) with 4 cards on each

Answer 8

There are 3 face cards (Jack, Queen, King) in each suit and there are 4 suits, so there are 12 face cards in the deck.

Answer 9

yes

Answer 10

What is the probability of drawing a face card?

Answer 11

i think its 12/52

Answer 12

im not sure

Answer 13

what do you think? @Directrix

Answer 14

Right.

For the second draw, the card from the first draw is not replaced.

There are now 51 cards left in the deck.

--> How many cards with the number 9 are in a deck of cards?

Answer 15

4 cards with the number 9

Answer 16

The probability of drawing a 9 on the second draw is 4/51.

The probability of getting a face card AND then on the second draw getting a 9 is:

12/52 * 4/51 = ?

Answer 17

4/221?

Answer 18

That is what I got. Are the two events independent?

Answer 19

no they are dependent

Answer 20

so the answer is A! thank you

Answer 21

Correct. You are welcome.