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A fair six-sided dice was rolled \(n\) times. What is the value of \(n?\)

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by Vincen » Wed Jul 22, 2020 12:24 pm

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A fair six-sided dice was rolled \(n\) times. What is the value of \(n?\)

(1) The number of different possible sequences of \(n\)-digit numbers when a dice is rolled \(n\) times is \(7776.\)

(2) If the dice have been rolled 3 times fewer, the probability of getting a 6 on every roll would have been \(\dfrac1{36}.\)

[spoiler]OA=D[/spoiler]

Source: GMAT Club Tests
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