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Vladimir rolls a six-sided number cube 36 times. If getting a 3 is a success, what is the probability of a success?

Ask by Patel Coles. in the United States
Feb 25,2025

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The probability of rolling a 3 is 1/6.

Solution

Since a six-sided number cube has 6 faces and only one of these faces shows a 3, the probability of rolling a 3 on any one roll is 1/6.

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When rolling a six-sided number cube (die), there are six possible outcomes: 1, 2, 3, 4, 5, and 6. Since getting a 3 is considered a success, there is only one successful outcome (rolling a 3) out of the six possible outcomes. Therefore, the probability of success in this scenario is: \[ \text{Probability of success} = \frac{\text{Number of successful outcomes}}{\text{Total number of outcomes}} = \frac{1}{6} \] So, the probability of rolling a 3 in one roll is \( \frac{1}{6} \). Since the die is rolled 36 times, the outcome probabilities remain unchanged for each individual roll.

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