- #1
dtsar
- 1
- 0
Homework Statement
A die is rolled until the first time that a six turns up. We shall see that the
probability that this occurs on the nth roll is (5/6)n−1 · (1/6). Using this fact,
describe the appropriate infinite sample space and distribution function for
the experiment of rolling a die until a six turns up for the first time. Verify
that for your distribution function the Ʃ(ω)=1, as ω→∞
Homework Equations
Relevant equations are in the question.
The Attempt at a Solution
Ω = { 6, N6, NN6, NNN6, ... , N...N6 }
Also, I know that the equation is exponential decay, but I just don't know how to get the formula...
I also know that it adds up, because (1/6)+(5/6)(1/6) + (5/6)^2(1/6) .. etc eventually equal to 1 as N→∞
Last edited: