Problem

A standard die is rolled. Find the probability that the number rolled is less than 6 . Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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The probability that the number rolled is less than 6 is approximately \( \boxed{0.833} \).

Steps

Step 1 :A standard die has 6 faces, numbered 1 through 6. The question asks for the probability that the number rolled is less than 6, which means we are interested in the numbers 1, 2, 3, 4, and 5. So, there are 5 favorable outcomes.

Step 2 :The total number of possible outcomes is 6 (since there are 6 faces on the die).

Step 3 :The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes. So, we need to calculate \( \frac{5}{6} \).

Step 4 :The probability that the number rolled is less than 6 is approximately \( \boxed{0.833} \).

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