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A probability experiment consists of rolling a fair 14 -sided die, numbered 1 to 14 . Find the probability of the event below. rolling a 10 The probability is \( \square \). (Type an integer or decimal rounded to three decimal places as needed.)

Ask by Rogers Klein. in the United States
Feb 25,2025

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The probability of rolling a 10 is approximately 0.071.

Solution

Since the die has 14 sides and only one of them is a 10, the probability is 1 favorable outcome divided by 14 possible outcomes. So, the probability is 1/14 which is approximately 0.071 when rounded to three decimal places.

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The probability of rolling a specific number on a fair die is determined by taking the number of successful outcomes divided by the total number of possible outcomes. In this case, there is only one successful outcome (rolling a 10) and a total of 14 possible outcomes (the numbers 1 to 14). Thus, the probability is calculated as \( \frac{1}{14} \approx 0.071 \). So, the probability of rolling a 10 is approximately \( 0.071 \) when rounded to three decimal places.

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