Deck of Cards Probability question

[Ruprect]

Two cards are drawn from a standard deck of cards. The first card is NOT put back into the deck after being drawn. What is the probability that the first card is a diamond OR the second card is a face card?

A) 17/52
B) 25/52
C) 433/2652
D) 1131/2652

Can someone please explain how to get the correct answer (which is D). I'm coming close but am off slightly.

 

[lev888]

Two cards are drawn from a standard deck of cards. The first card is NOT put back into the deck after being drawn. What is the probability that the first card is a diamond OR the second card is a face card?

A) 17/52
B) 25/52
C) 433/2652
D) 1131/2652

Can someone please explain how to get the correct answer (which is D). I'm coming close but am off slightly.

Please post your solution.

 

[nasi112]

How many diamond cards are there in the deck of cards?

How many faces are there in the deck of cards?

How many diamond faces are there in the deck of cards?

 

[nasi112]

Two cards are drawn from a standard deck of cards. The first card is NOT put back into the deck after being drawn. What is the probability that the first card is a diamond OR the second card is a face card?

A) 17/52
B) 25/52
C) 433/2652
D) 1131/2652

Can someone please explain how to get the correct answer (which is D). I'm coming close but am off slightly.

You probability forgot to subtract the intersection. It is a common mistake.