Ask your own question, for FREE!
Mathematics 14 Online
OpenStudy (anonymous):

12

OpenStudy (anonymous):

How many cards are in each suit?

OpenStudy (anonymous):

4

OpenStudy (anonymous):

@Becki there are 13 suits and 4 cards in each

OpenStudy (anonymous):

No. Other way around.

OpenStudy (anonymous):

but there cant be 4 suits bc its a standard deck and a stnadard deck has 13 suits containing 4 types of cards eg: (A,2,3,4,5,6,7,8,9,10,Jack,K,Q) with (hearts, spades, etc)

OpenStudy (anonymous):

No, the suits are Hearts, Spades, Diamonds and Clubs...

OpenStudy (anonymous):

ohh ok

OpenStudy (anonymous):

So, how many cards are in each suit?

OpenStudy (anonymous):

13?

OpenStudy (anonymous):

Yes, out of 52 cards, right? So what are your chances of drawing a card from, say, the hearts?

OpenStudy (anonymous):

13/52

OpenStudy (anonymous):

Right. So, without replacement, that is, without putting that card back in the deck, what are your chances of drawing another card the same suit as the first? Think about how many cards are left in the suit and how many are left in the deck.

OpenStudy (anonymous):

12/52?

OpenStudy (anonymous):

Close...it would be 12/51 because you didn't put that card back.

OpenStudy (anonymous):

ohhh right

OpenStudy (anonymous):

and now do i add the two number? (13/52) + (12/51)

OpenStudy (anonymous):

So, since your question asked what are your chance of drawing 2 cards from the same suit, the first card really doesn't matter. What determines your probability is the second card. Get it?

OpenStudy (anonymous):

If it had said, "What are your chances of drawing 2 hearts?" then the first card would matter, because you want it to be heart.

OpenStudy (anonymous):

i see....and what would be the next step?

OpenStudy (anonymous):

That's it as far as your original question. The probability of drawing 2 cards from the same suit is 12/51.

OpenStudy (anonymous):

really? i thought i had to add the two numbers together to get the probability

OpenStudy (anonymous):

No. Like I said, if your question had said 2 hearts or whatever, then you would MULTIPLY the probabilities, but since in your case, the first card doesn't matter, we don't do anything with it.

OpenStudy (anonymous):

ohh i get it now...thank you so much for your help!!

OpenStudy (anonymous):

No problem. :)

terenzreignz (terenzreignz):

...just a side-note... if you really want to add stuff up, you can always think of it as the sum of the probabilities of drawing two hearts, two spades, two diamonds, and two clubs... You'll end up with the same answer.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!