Question

Help would be greatly appreciated!

Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that the first card is a club and the second card is a diamond? Are these events independent?

A. 1/17; no, they are dependent events
B. 13/204; no, they are dependent events
C. 103/204; yes, they are independent events
D. 1/2; yes, they are independent events

Answer 1

B. There are 52 cards 13 of each kind

13/52 13 clubs 52 cards altogether
13 diamond and since you do not replace the first card now there's 51 card a the second time

13/52 times 13/51
1/4 times 13/51 = 13/204