Assume the following problem only involves fair,six-sided dice.

(a) i. what is the total number of possible outcomes rolled when rolling six dice?

ii. How many of these possible outcomes have no "6"s?

iii. use the above two answers to calculate the probability that ,when rolling six dice at least one"6" is rolled

(b) i.what is the total number of possible outcomes rolled when rolling 12 dice?

ii.How many of these possible outcomes have no "6"s or exactly one "6"?

iii.use the above two answers to calculate the probability that ,when rolling twelve dice at least two "6" is rolled

(c) i.what is the total number of possible outcomes rolled when rolling 18 dice?

ii.How many of these possible outcomes have no "6"s or exactly one "6" or exactly two "6"s?

iii.use the above two answers to calculate the probability that ,when rolling eighteen dice at least three "6" is rolled