Thread: What formulas do I need?

So I am revising for my maths test resit cos I suck lol but anyway I have this question

Q1. A suit of playing cards has 13 cards, Ace through to King. What is the probability of the deck containing one suit being in order: A23456789TJQK after an unbiased shuffle? Inlude your reasoning.

I know it's 13! but how would I show this answer using a formula? I think it's nCk but I'm not sure, it's worth 5% so I need to include something in there.

Originally Posted by uperkurk

So I am revising for my maths test resit cos I suck lol but anyway I have this question
Q1. A suit of playing cards has 13 cards, Ace through to King. What is the probability of the deck containing one suit being in order: A23456789TJQK after an unbiased shuffle? Inlude your reasoning.
I know it's 13! but how would I show this answer using a formula? I think it's nCk but I'm not sure, it's worth 5% so I need to include something in there.

The answer depends on how one reads the question. If it means that the suit is one block is that order then .

On other hand it it means the suit can be spread out but in that order then .

Originally Posted by uperkurk

So I am revising for my maths test resit cos I suck lol but anyway I have this question

Q1. A suit of playing cards has 13 cards, Ace through to King. What is the probability of the deck containing one suit being in order: A23456789TJQK after an unbiased shuffle? Inlude your reasoning.

I know it's 13!

I'm sorry to hear that. Do you not know that a probability is always between 0 and 1?

but how would I show this answer using a formula? I think it's nCk but I'm not sure, it's worth 5% so I need to include something in there.

I think your problem is that you have no idea what the problem is asking. 13! is nowhere near the correct answer.

Well that's frustrating lol... you're right I don't understand half the questions i'm given, I really struggle with maths but I thought the question meant what are the chances, if you kept shuffling the deck over and over that you'd end up with 1 of the suits in full order. Please explain to question so I get what it means thanks.

Originally Posted by Plato

.

That is the correct one because it asks in order, A23456789TJQK but can you read this out to me? How do I even read your answer in english.

Originally Posted by uperkurk

That is the correct one because it asks in order, A23456789TJQK but can you read this out to me? How do I even read your answer in english.

Well the final answer is . WHY?
Because is the number of ways to arrange 52 cards so that one particular suit is in ascending order ace to king. If we want the probability we divide by .

oh I understand it now.... so there is just as much chance that lets say A2K36579Q48J appearing as there is A23456789JQK, I need to ignore the whole suit part of the question and just think of that as 1 combination, and there are 13! different combinations for that suit to be arranged?

Originally Posted by uperkurk

oh I understand it now.... so there is just as much chance that lets say A2K36579Q48J appearing as there is A23456789JQK, I need to ignore the whole suit part of the question and just think of that as 1 combination, and there are 13! different combinations for that suit to be arranged?

Actually that is a very good way to look at this particular question.