Lenny Conundrum: Bilge Dice

What are the odds of getting a perfect game in Bilge Dice on the first roll? Please submit your answer as a whole number, rounded to the nearest whole number. (i.e. if the odds are 1 in 100, submit the answer “100″.)

So, pointers? Bilge Dice is a dice game that you can play on Krawk Island. You start by rolling 6 dice. To be able to win, you must have a 1 and a 4, and the sum of the remaining 4 dice has to be higher than that of your 4 opponents. A perfect roll would be a 1, a 4 and four 6.