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A number cube is rolled three times. What is the probability of rolling 6 all three times?

Ask by Bright Mcfarlane. in the United States
Feb 27,2025

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Answer

The probability of rolling a 6 three times in a row is 1/216.

Solution

When rolling a standard number cube (die), the chance of rolling a 6 on one roll is 1/6. Since the rolls are independent, the probability of rolling a 6 three times in a row is: (1/6) × (1/6) × (1/6) = 1/216. Thus, the probability is 1/216.

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The probability of rolling a 6 on a number cube (a standard six-sided die) in one roll is 1 out of 6, or 1/6. When rolling the die three times, the outcomes are independent, so you multiply the probability of rolling a 6 for each roll. Therefore, the probability of rolling a 6 three times in a row is (1/6) × (1/6) × (1/6) = 1/216. So, your chances of getting that lucky streak of sixes are pretty slim! In real-world scenarios, rolling a specific number multiple times could mimic other probabilities, such as certain gaming situations or lottery draws. Understanding these concepts helps you analyze odds in games of chance, like casino games or board games, where the outcome could really change depending on the luck of the rolls! Always keep in mind that while the math is solid, the outcomes can be pretty unpredictable!

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