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A 6 -sided die is rolled. The set of equally likely outcomes is . Find the
probability of rolling a number less than 9 . 0 of 1
The probability of rolling a number less than 9 is .
(Type an integer or a simplified fraction.)

Ask by Fernandez Byrd. in the United States
Mar 31,2025

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The probability of rolling a number less than 9 is 1.

Solución

  1. The set of outcomes for a 6-sided die is given by .
  2. We are asked to find the probability of rolling a number less than 9. Since every outcome in the set (1 through 6) is less than 9, each outcome is favorable.
  3. The probability is calculated as
    Here, the number of favorable outcomes is 6 and the total number of outcomes is also 6. Thus,
  4. Therefore, the probability of rolling a number less than 9 is .

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Bonus Knowledge

When rolling a standard 6-sided die, the possible outcomes are and . All these numbers are less than 9, meaning that every outcome is favorable. With 6 total outcomes and 6 favorable ones, the probability of rolling a number less than 9 is calculated as:
The probability of rolling a number less than 9 is .

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