What is the probability that the maximum roll of a dice will be exactly 2?

[ParisSpart]

Throw a dice and record the result. After flipping a fair coin. If it comes letters repeat. If it comes up heads stop. (In other words, throw the dice continuously until we crown the currency immediately after throwing the dice.)

What is the probability that the maximum effect of the dice will be seen exactly 2?


i think that i must use bernouli type like that : (n c k)p^k(1-p)^n-k but its not correct i hink that i am not use the right way to solve this problem maybe can i have any ideas?

 

[mfb]

Does that text come from a translation program?
You throw a die, stop with 50% probability afterwards, and repeat this until you stop, okay.

What does "maximum effect" mean?

 

[ParisSpart]

maximum result of the dice

 

[mfb]

6?

Can you calculate the probability to get at least one 6? This will help to get the probability of exactly two times 6.

 

[ParisSpart]

we want exactly the max result of the dice to be 2... i don't know how to think to solve this..

 

[mfb]

i don't know how to think to solve this..

I posted a hint how you can approach the problem in post 4.

 

[ParisSpart]

and how i can calculate at least one 6?

 

[mfb]

What is the probability to get 6 at the first roll?
If that does not happen (probability?), what is the probability to get it on the second?
...
What is the sum of all of those?

 

[ParisSpart]

and how this going to help me for solve the problem ?

 

[mfb]

That is something you should find out. It is a simple multiplication of values of the intermediate result.

I will not solve the problem for you, that is not the purpose of this forum.

 

[ParisSpart]

when i will find this sum with what i am going to multiply?

 

[ParisSpart]

i don't want to solve this for me but i want you to be more specific