Question

What is the probability of drawing three red cards, one at a time without replacement, from a standard deck of 52 cards?

Answer 1

wouldnt it be 3/26 ? because theres either red or black cards which means 26 cards are red 26 are black. but they're asking for 3 different cards. im just assuming

Answer 2

3/52
2/17
1/8
75/676
are the options

Answer 3

adajia is right on the 3 part, but it's still talking about the chances of picking those three from the deck of 52 cards.

Answer 4

@Catseyeglint911

Answer 5

ohhhhhh ok lol i read it as 3 cards out of the red cards lol my bad

Answer 6

Sorry, guys. I'm doing 3 things at once.

Answer 7

I know the 3 out of 26 part and the 3 out of 52 but do you know if there is something else?

Answer 8

Lol thats ok adajia. And well I would assume that the answer would be 3/52 but sometimes probability is confusing so let me look in my notes.

Answer 9

what do you mean but something else? i mean you can split it 7 different ways if you base it off of the faces meaning king queen jack spaid heart etc

i agree with kobeni the answer is 3/52

Answer 10

oh waiiiitttt

Answer 11

So we have
26C3 and 52C3
I just didn't know if there was another combination I had to solve

Answer 12

8 ways my bad i forgot to count the ace lol

Answer 13

Half of the cards in the deck are red. So the probability of picking out one red card is 1/2. I think if you wanted to see the prob. for picking three consecutive cards like that, you would multiply the denominator by 3. So I actually think its 1/8 now.

Answer 14

Do you know if the "without replacement" has any effect on the answer?

Answer 15

no they just mean like if you take a card out and then place it back into the deck so no it shouldnt have any effect on it

Answer 16

Oh wait argh. I multiplied the probabilities 26/52, 25/52, and 24/52 and got 75/676. That's probably in regards to the ''w/o replacement'' because the number of red cards in the deck decreases by one each time you take one out.

Answer 17

It'll have an effect on it because if you put the card back, that's another 1/52 chance that you'll pick up that red card.

Answer 18

oh yeah duhh. lol kobeni seems to know what shes talking about so ill just let her handle it from here haha

Answer 19

aww its seriously alright lol. I had a lot of trouble with probability but I'm glad i finally figured it out c:

Answer 20

Wait...so wouldn't it be
26/52, 25/51, and 24/50
since cards are being taken out of the deck as well?

Answer 21

If I was the type f person to curse, this is when I would do it.
That's right lol... you'll want to multiply all three of those fractions to get the *true* answer.

Answer 22

26/52, 25/51, and 24/50
Okay multiplying these all together I got 15600/132600 = 2/17
And don't worry about it. You're fine. :)

Answer 23

Ok o_o lol that should be right, now.

Answer 24

Thank you. :)