Find The Probability Of Drawing A Face Card That Is A Diamond On The First Draw, Replacing It And Drawing A 10 Card On The Second Draw.

Question

Please Explain 

Answer 1

Marite:

 

Mark is correct for part of the answer.  But there are 3 choices for a diamond face card and 4 choices for a 10.  You would end up as Mark said, (3/52)(4/52) which equals 12/2704 which is 3/676 in lowest terms.  When I needed to come up with a probability, I was told your answer needed to be in fraction form.  So 3/676 would be correct.

 

Mark was just showing how many diamond choices there are, which is 13:  A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K.  (Don't forget the Ace).  But in your question, this is not even asked for.  Good luck.

 

Larry

Answer 2

OOPS---FIXED

 

 

3 choices for a diamond face card!!!  13 choices for a diamond

 

4 choices for a 10

 

If the first card is replaced--AND the deck is shuffled--then the two draws are independent events

 

p = (3/52)(4/52) = 2/52^2 = 0.00444

 

(assumes no jokers)