Problem

A single fair six-sided die is rolled. Find the probability of getting a 2 or 5 .

What is the total number of possible outcomes?

Getting a roll of 2 or 5 represents how many outcomes?

The probability of getting a roll of 2 or 5 is (Type an integer or a simplified fraction.)

Answer

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Answer

Final Answer: The probability of getting a roll of 2 or 5 is \(\boxed{\frac{1}{3}}\).

Steps

Step 1 :The total number of possible outcomes when rolling a six-sided die is 6, because a die has 6 faces each with a different number from 1 to 6.

Step 2 :Getting a roll of 2 or 5 represents 2 outcomes, because we are looking for either of the two specific numbers.

Step 3 :The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the number of favorable outcomes is 2 (getting a 2 or a 5), and the total number of possible outcomes is 6 (since the die has 6 faces).

Step 4 :\(\text{favorable outcomes} = 2\)

Step 5 :\(\text{total outcomes} = 6\)

Step 6 :\(\text{probability} = \frac{\text{favorable outcomes}}{\text{total outcomes}} = \frac{2}{6} = 0.3333333333333333\)

Step 7 :Final Answer: The probability of getting a roll of 2 or 5 is \(\boxed{\frac{1}{3}}\).

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