Question

This problem has been haunting me!

Answer 1

If you mean the problem you already posted, you should discuss that there.

Answer 2

can you write this here ?

Answer 3

the problem?

Answer 4

no the haunter

Answer 5

here is the file...

Answer 6

If I get a chance and nobody else helped u in the meantime, I will try and look at the document a bit later.

Answer 7

Thank you very much estudier!

Answer 8

I really only need an answer for Part I

Answer 9

I guess the most straightforward one to do is a Royal Flush because obviously there are only 4 of them out of all the possible hands.

All the possible hands is given by 52! and to choose 5 you want

5/52 * 4/51 * 3/50 * 2/49 *1/48 = 5! 47!/52! = 1/2,598,960.

There are only 4 royal flushes so multiply by 4 = 1/649,740.

That do?

Answer 10

I'm trying to understand how it's calculated. I'm sure your answer is correct, but see in the word doc where the prof. gives an example explanation?

Answer 11

What explanation would accompany your answer?

Answer 12

U mean the stuff in brackets?

Answer 13

The probability, I believe, is supposed to be a percentage

Answer 14

For a percentage just multiply by a 100.

Answer 15

I see your fractions, so that's the calculation - but then the prof. wants an explanation, look below the stuff in brackets

Answer 16

Don't get it, for a Royal Flush it's just 52 Choose 5.

If you want more of an explanation then the first card must be 1 of AKQJ10 of a suit out of 52 cards, the second has to be one of the remaining 4 out of the 51 left...etc.

Answer 17

Don't get it, for a Royal Flush it's just 52 Choose 5.

Then, for a particular Royal Flush *4.

Answer 18

So let me see if I understand..

Answer 19

Royal Flush

5/52 times 4/51 times 3/50 times 2/49 times 1/48 = 5

Answer 20

?

(5*4*3*2*1)/(52*51*50*49*48) which is what I already put ie

5/52 * 4/51 * 3/50 * 2/49 *1/48 = 5! 47!/52! = 1/2,598,960.

Answer 21

As you can see the probabilty is very low...

Answer 22

Where I'm getting confused is here: = 5! 47!/52! = 1/2,598,960

It says "=5" then it has another fraction after that, 47/52, where does that and "= 1/2,598,960" come from?

Answer 23

I'm a math idiot, so I apologize

Answer 24

It doesn't say 5, it says 5! which is short for 5*4*3*2*1.

n! means n*(n-1)*(n-2)........*1

Answer 25

The prof. hasn't used the exclamation points with us, that's what's confusing me

Answer 26

5! 47!/52! is the same as 52 choose 5 (ie 52 above 5 in brackets like in your paper)

47! in the top cancels with 47 and all the numbers below it in the bottom leaving you with 5/52 * 4/51 * 3/50 * 2/49 *1/48

If you don't know this notation then your professor won't expect u to use it, just write it out the long way.

Answer 27

So I should write it like this:

Answer 28

God this makes me nervous

Answer 29

lol

Answer 30

I like English ;)

Answer 31

You know what? I'm still lost. It's not your explanation. I just can't wrap my head around these kinds of things. I can't figure out how to write it out the long way, why we "choose 5" if there are only 4 RF's possible. I'm just lost.

Answer 32

Because there are 5 cards in a hand.

Answer 33

You are "choosing" 5 cards from 52 cards not 4 royal flushes

Answer 34

Like the example in your paper, u choose cards not pairs.

Answer 35

The question is whether u can make a pair with the cards you choose (or a Royal Flush).

Answer 36

So I'm choosing my first card from a deck of 52, my 2nd card from a deck of 51, 3rd from a deck of 50...

Answer 37

And how many times does that happen out of all the possible times.

Answer 38

Yes, correct.

Answer 39

so the "5, 4, 3,..." are not actual numbers, but your representation of each card

Answer 40

Not exactly, in order to get a particular Royal Flush, in Hearts, say, there are 5 cards in the deck that make up that Royal Flush. So I have to get 1 of them on the first deal, another on the next when there are 4 remaining of 51, etc.

What I don't understand is why you are querying the calculation, I am doing it in the same way as your example eg in your paper you have 12 choose 3 for the pair example. Don't u know what it means?

Answer 41

Not really. Match confuses me all around. I'm SURE you're right, I would just like to understand it for myself

Answer 42

*Math

Answer 43

I agree with your desire but it seems to me u are asking some very basic questions that suggest to me u need a lot more study before tackling questions like this.

It's not just formulas that you can plug things into, u need to think a bit about what is actually going on.

Answer 44

Well here's what I have...

Answer 45

so far, based on what you've said

Answer 46

I chose Royal Flush because obviously there are only 4 of them out of all the possible hands. The number of possible hands is represented by “52”. To choose 5 cards we use the equation:

5/52 * 4/51 * 3/50 * 2/49 * 1/48

There are 5 cards in the deck that make up the Royal Flush. So I have to get 1 of them on the first deal, another on the next when there are 4 remaining of 51, etc.

The above equation comes out to:

5*4*3*2*1 / 52*51*50*49*48

There are 47 cards left in the deck after the 5 cards are chosen.

Answer 47

correct so far?

Answer 48

Let me read it...

Answer 49

okay

Answer 50

I chose Royal Flush because obviously (delete put since) there are only 4 of them out of all the possible hands. The number of possible hands is represented by “52” (meaning 52*51*50*...*1) (The probability) To choose (the) 5 cards (that make up a particular (one of the 4)Royal Flush,) we (calculate as follows) use the equation (it's not an equation) : 5/52 * 4/51 * 3/50 * 2/49 * 1/48 There are 5 cards in the deck that make up the (a particular) Royal Flush. So I have to get 1 of them on the first deal, another on the next when there are 4 remaining of 51, etc. The above equation comes out to: 5*4*3*2*1 / 52*51*50*49*48 (you already said this) There are 47 cards left in the deck after the 5 cards are chosen.

Answer 51

You could also delete the last sentence.

Answer 52

So what u have written covers getting a Royal Flush but there 4 of them out of the total so you need to multiply by 4.

Answer 53

Thanks! So how could we finish it off, in the same explanatory fashion, using the rest of your calculation

Answer 54

?

Answer 55

Well, to be honest I think it is not my work to write your assignment for u...

You should do it in your own words.

I have given u all the information u need to do it by yourself.

Answer 56

i don't think you should either, I just want to make sure that what I'm saying makes sense

Answer 57

:)

Answer 58

I'm trying to write it out now

Answer 59

Well, u saw my corrections to your first attempt....

I think u need to sit down and think about this problem a bit more carefully before u write anything.

You have the "answer" it is now a question of explaining why that is the answer.

Answer 60

On reflection, it might be a good idea to use ! notation as it will demonstrate that u have researched/learned something (provided u understand it, that is).

Answer 61

The above calculation results in: 5*4*3*2*1 / 52*51*50*49*48, which equals 1/2,598,960 (3.84769292 * 10-7). There are only 4 royal flushes, so we multiply by 4 and get 1/649,740 (1.53907717 × 10-6).

Answer 62

decimals look right?

Answer 63

it's 10 to the negative 7 power, not 10-7