A and B are two mutually exclusive events in the same sample space. I am asked to prove that to the probability of event A happening before event B is equal to A/A+B. I assume you can calculate the probability like so...
[MATH] sum_{n=1}^{\infty} A*(1-(A+B)^{n-1}) [/MATH]
However, I am unsure how to equate this infinite sum with the equation A/A+B.
Can anyone help?
[MATH] sum_{n=1}^{\infty} A*(1-(A+B)^{n-1}) [/MATH]
However, I am unsure how to equate this infinite sum with the equation A/A+B.
Can anyone help?