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If the probability that the product of t...

If the probability that the product of the outcomes of three rolls of a fair dice is a prime number is `p ,` then the value of `1//(4p)` is_____.

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To solve the problem, we need to find the probability \( p \) that the product of the outcomes of three rolls of a fair die is a prime number, and then calculate \( \frac{1}{4p} \). ### Step-by-Step Solution: 1. **Determine Total Outcomes**: - A single die has 6 faces (1, 2, 3, 4, 5, 6). - When the die is rolled three times, the total number of outcomes is: \[ ...
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