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## Homework Statement

A player goes on rolling

__one__

**six sided normal die (unbiased)**infinite times.

**But if he gets a 5 then he loses and stops rolling anymore**. However

**until and unless he gets a 5**, he continues to roll the die.

__What's the probability of losing??__## Homework Equations

Look, I know that the probability of a 5 turning up is 1/6. But in an infinite number of rolls this can be huge (if the 5 doesn't turn up)! I mean, we need the probability of losing and not a 5 turning up. So maybe I'll get an infinite G.P.?? You lose when you get a 5. I am really messed up with this problem so, please would anyone help me?? I will be really pleased.