"A dice it thrown until the sum of the outcomes is greater than 300. Find, approximately, the probability that at least 80 experiments are required."
I have the suspicion that if
X = number of throws required until sum>300
then X has normal distribution with mean 85 and ... some variance
How could I prove that?
Also, I calculated the probability using another method and I got 0.765 as a result, but when I simulated the experiment I got 0.89 as a result ...