gistfile1.txt

from collections import Counter

all_possible_results = []

for first_roll_result in range(1, 8):
    for second_roll_result in range(1, 8):
        for third_roll_result in range(1, 8):
            for fourth_roll_result in range(1, 8):
                for fifth_roll_result in range(1, 8):

                    result = (first_roll_result +
                              second_roll_result +
                              third_roll_result +
                              fourth_roll_result +
                              fifth_roll_result) % 5 + 1
                              
                    all_possible_results.append(result)

counter = Counter(all_possible_results)
print(counter) # Counter({3: 3365, 4: 3365, 2: 3360, 5: 3360, 1: 3357})
print(len(all_possible_results) / 5) # 3361.4