Two armies meet on a battlefield. The first army has 120 soldiers, and the second 100. Both groups prepare and start shooting at the enemy. For simplicity, let's assume that both opponents use identical rifles and fire a salvo (all at once). The percentage of hit rate follows the normal distribution with mean value 15% and standard deviation 10%. The first volley is followed by a second salvo, a third, and so on, until one of the armies loses all its soldiers. What is the probability of each army to win?