A fair die is rolled four times. The probability that each of the final three rolls is at least as large as the roll preceeding it is m/n in the lowest terms. Then n -10m = ?

Question

anonymous · Answer

Please stop spamming and wait patiently for a tutor to assist you with your problems.

vishweshshrimali5 · Answer

KKKKKKK sorry

vishweshshrimali5 · Answer

Hey!! Xcuseme Who are you polpak ? May I know please?

anonymous · Answer

Just a lego guy

vishweshshrimali5 · Answer

What is lego guy ?

vishweshshrimali5 · Answer

I mean what does it mean ?

vishweshshrimali5 · Answer

Hey You have 580 medals !!!!!!!!!! wow

anonymous · Answer

this question is a poser

anonymous · Answer

Others have more.

vishweshshrimali5 · Answer

Hello satellite please help me !

vishweshshrimali5 · Answer

What is a poser !

anonymous · Answer

are u studying iit  coaching

vishweshshrimali5 · Answer

No but preparing for that but how do u know that man ?

anonymous · Answer

if the first roll is a1, then probability is 1
if the first roll is a 2 then probability is 
$$(\frac{5}{6})^3$$

anonymous · Answer

that  type of question comes in iit

vishweshshrimali5 · Answer

Yaa u are right amingad !

anonymous · Answer

it is easy take 4 turn as 36c4

vishweshshrimali5 · Answer

How do u got that satellite please explain !

anonymous · Answer

oh wait that is wrong. i need to read more carefully

vishweshshrimali5 · Answer

Please take you time

vishweshshrimali5 · Answer

How do you got that amingad

anonymous · Answer

looks like coupon collectors problem

vishweshshrimali5 · Answer

It may be

anonymous · Answer

what is probability of a record.  gives harmonic series

anonymous · Answer

yikes now i have to think

vishweshshrimali5 · Answer

Amingad please explain step by step I can't understand it so fastly

vishweshshrimali5 · Answer

I am a neophyte in this field you may think that

anonymous · Answer

fair dice consist of 6 numbers . so the the no of times  get the highest probability of number will be 24 c4  my mistake i wrote 36 c4

anonymous · Answer

you lost me here for sure

vishweshshrimali5 · Answer

What do you mean to say satellite ?

vishweshshrimali5 · Answer

Okkkkk amingad now is there any step left ?

anonymous · Answer

i mean i am lost completely.

vishweshshrimali5 · Answer

Ohhhh you mean that it is a nice question then thanks a lot

vishweshshrimali5 · Answer

Well satellite you can have a look at other questions

anonymous · Answer

12c3< m/ n so n has to be highest dice  to be rolled

vishweshshrimali5 · Answer

Amingad will you please do me a favour

anonymous · Answer

yep it is tricky but good

vishweshshrimali5 · Answer

can you write the answer in a single post and with each step explained
Because my teacher says that you will have to answer the question with each step explained or you will get no marks

vishweshshrimali5 · Answer

Will you please do so ?

vishweshshrimali5 · Answer

Are you answering the question amingad

zarkon · Answer

$$\frac{7}{72}$$

anonymous · Answer

yep correct answer zarkon

zarkon · Answer

i know

zarkon · Answer

Just for fun...if we used an n-sided die the probability is 

$$\frac{(n+1)(n+2)(n+3)}{24n^3}$$

zarkon · Answer

and if we rolled an n-sided die k times it would be

$$\frac{n(n+1)(n+2)\cdots(n+k-1)}{n^{k}k!}$$