Math problem. Help plzzzzzzz!!!!!

Yeah, but i’m not sure about the answer. I think that the answer is 2.

What level is this, what have you tried?

I don’t know what level it is. But i got a little bit confused at first.

Again, can you say what level it is and what have you tried? The sticky at the top of the forum says you shouldnt just expect an answer/solution.

What qualification are you studying?

It’s probably infinity, given that x∈R and that 0<x<1 then the machine will continue repeating numbers. as x cannot be 0 then x will get infinitesimally close to 0, but will never be 0, then the number will be closer every time so it will be like 0.0… 1 but it will not be 0. This link here https://www.desmos.com/calculator/ngqtlmf7gf will help you understand the problem consider that x is the amount of times you click the button y will be the output value, but it won’t be 0.

It’s probably infinity, given that x∈R and that 0<x<1 then the machine will continue repeating numbers. as x cannot be 0 then x will get infinitesimally close to 0, but will never be 0. This link here https://www.desmos.com/calculator/ngqtlmf7gf will help you understand the problem consider that x is the amount of times you click the button y will be the output value, but it won’t be 0.

Why will x gets closer to 0?

Now I got the idea by thinking it as a geometric distribution. Thank you so much =)

Because as 0<x<1 then x can’t be 0 but as the number gets smaller and smaller it will get closer to zero but based on the fact on the sentence above, it is impossible to be 0 as x can only be greater than 0

My teacher led us to think of a very simple way to solve this question. The possibility for a certain number P(X=n)=P(the last number we got is the smallest and the first number we got is the second smallest). It really makes sense and really easy to work out the possibility (since my classmate use complicated integration to work out this).

So what did they give as an ans? I agree with the pi/4 (quarter circle) for the integration equation.

You are right. And i give the methods they used under that post. I really learnt a lot.

I was really asking about this question, what ans did your teacher give? For this problem, even doing it properly, I cant see how its a complex integration problem.