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??
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.