Problem

Determine the probability of the given opposite event. What is the probability of rolling a fair die and not getting an outcome less than 4 ? The probability of rolling a fair die and not getting an outcome less than 4 is $\square$. (Type an integer or a simplified fraction.)

Solution

Step 1 :The outcomes of rolling a fair die are 1, 2, 3, 4, 5, and 6.

Step 2 :The outcomes less than 4 are 1, 2, and 3.

Step 3 :So, the outcomes not less than 4 are 4, 5, and 6.

Step 4 :The probability of an event is the number of favorable outcomes divided by the total number of outcomes.

Step 5 :In this case, the total number of outcomes is 6 (since a die has 6 faces), and the number of favorable outcomes (not getting an outcome less than 4) is 3.

Step 6 :So, the probability is \( \frac{3}{6} \), which simplifies to \( \frac{1}{2} \).

Step 7 :Final Answer: The probability of rolling a fair die and not getting an outcome less than 4 is \( \boxed{\frac{1}{2}} \).

From Solvely APP
Source: https://solvelyapp.com/problems/JSjLkGZIkG/

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