## vishweshshrimali5 Group Title 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 = ? 3 years ago 3 years ago

1. polpak Group Title

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

2. vishweshshrimali5 Group Title

KKKKKKK sorry

3. vishweshshrimali5 Group Title

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

4. polpak Group Title

Just a lego guy

5. vishweshshrimali5 Group Title

What is lego guy ?

6. vishweshshrimali5 Group Title

I mean what does it mean ?

7. vishweshshrimali5 Group Title

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

8. satellite73 Group Title

this question is a poser

9. polpak Group Title

Others have more.

10. vishweshshrimali5 Group Title

11. vishweshshrimali5 Group Title

What is a poser !

are u studying iit coaching

13. vishweshshrimali5 Group Title

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

14. satellite73 Group Title

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

that type of question comes in iit

16. vishweshshrimali5 Group Title

Yaa u are right amingad !

it is easy take 4 turn as 36c4

18. vishweshshrimali5 Group Title

How do u got that satellite please explain !

19. satellite73 Group Title

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

20. vishweshshrimali5 Group Title

21. vishweshshrimali5 Group Title

How do you got that amingad

22. satellite73 Group Title

looks like coupon collectors problem

23. vishweshshrimali5 Group Title

It may be

24. satellite73 Group Title

what is probability of a record. gives harmonic series

25. satellite73 Group Title

yikes now i have to think

26. vishweshshrimali5 Group Title

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

27. vishweshshrimali5 Group Title

I am a neophyte in this field you may think that

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

29. satellite73 Group Title

you lost me here for sure

30. vishweshshrimali5 Group Title

What do you mean to say satellite ?

31. vishweshshrimali5 Group Title

Okkkkk amingad now is there any step left ?

32. satellite73 Group Title

i mean i am lost completely.

33. vishweshshrimali5 Group Title

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

34. vishweshshrimali5 Group Title

Well satellite you can have a look at other questions

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

36. vishweshshrimali5 Group Title

yep it is tricky but good

38. vishweshshrimali5 Group Title

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

39. vishweshshrimali5 Group Title

Will you please do so ?

40. vishweshshrimali5 Group Title

41. Zarkon Group Title

$\frac{7}{72}$

43. Zarkon Group Title

i know

44. Zarkon Group Title

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

45. Zarkon Group Title

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