HELP! At the carnival, there is a special prize for anyone who can roll six 6s within 12 dice rolls! But there's a catch you can only roll 6. After studying the dice, and watching others play, you find that the dice is not fair. The probability to roll a 1 was the same for 2, they were both 1/4, the probability to roll a 3 was the same for 4, they were both 1/20, and the probability to roll a 5 was the same for 6. What is the probability that you win the special prize?