The possibility to get at least 1 six in 6 rolls of a six-sided die is $$A$$.

The possibility to get at least 2 sixes in 12 rolls of the same six-sided die is $$B$$.

The possibility to get at least 3 sixes in 18 rolls of the same six-sided die is $$C$$

$D = 6A + 12B + 18C$

Find the value of $$D$$, correct to one decimal place.

Details and Assumptions

• Assume they are all unbiased six-sided die.

• Each event is independent from one another.

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