Sara selects two cards at random from a standard deck of fifty-two cards. Which of the following could be used to calculate the probability that she will select two numbered cards if she replaces the first card before selecting the second? Note: For this problem, face cards and aces are not numbered cards.
(A) 36/52 x 35/51
(B) 36/52 x 35/52
(C) 36/52 x 36/52
(D)36/52 x 36/51

Question

Sara selects two cards at random from a standard deck of fifty-two cards. Which of the following could be used to calculate the probability that she will select two numbered cards if she replaces the first card before selecting the second? Note: For this problem, face cards and aces are not numbered cards.
(A) 36/52 x 35/51
(B) 36/52 x 35/52
(C) 36/52 x 36/52
(D)36/52 x 36/51

ivettef365 · Answer

so how many number cards are in a deck of cards ?

anonymous · Answer

36??

oaktree · Answer

Think about it like this: if we replace the card, the deck is restored to its original condition at the beginning of the problem. So if we have a 36/52 probability of choosing a number card the first time (like there obviously is based on the answer choices), then the next one will be the same. Can you figure out the answer based on that, @gleeunicorn?

anonymous · Answer

Ya, is it 36/52 x 36/52?

oaktree · Answer

Yeah, exactly. You should always think about how the problem is going to look step by step - it helps a lot.

anonymous · Answer

Thank you!

oaktree · Answer

No problem. Thanks for the medal!

anonymous · Answer

Your welcome! :D