Julie proposes the following wager to her sister Louise. She suggests they play a game of chance to determine who will wash the dishes. For this game, they shall use a generator of independent random numbers uniformly distributed between $0$ and $1$.
The game starts with $S = 0$. The 1st player, Louise, adds to S di erent random numbers from the generator until $S > 1$ and records her last random number, $x$.
The second player, Julie, continues adding to S di erent random numbers from the generator until $S > 2$ and records her last random number, $y$.
The player with the highest number wins and the loser washes the dishes, i.e. if $y > x$, the second player wins.
For example, if the 1st player draws $0.62$ and $0.44$, the 1st player's turn ends since $0.62+0.44 > 1$ and so $x = 0.44$.
If the second player draws $0.1$, $0.27$ and $0.91$, the second player's turn ends since $0.62 + 0.44 + 0.1 + 0.27 + 0.91 > 2$ and so $y = 0.91$.
Since $y > x$, the second player wins.
Estimate the probability of the second player winning, accurate to $10$ decimal places.
This is the problem. I'm new to python and i would really appreciate if someone can help me get started on coding with probability in python