Questions: Rolling a Die If a die is rolled one time, find these probabilities. Enter your answers as fractions or as decimals rounded to 3 decimal places. Part 1 of 3 (a) Getting a 1.

$Rolling a Die If a die is rolled one time, find these probabilities. Enter your answers as fractions or as decimals rounded to 3 decimal places. Part 1 of 3 (a) Getting a 1.$

Transcript text: Rolling a Die If a die is rolled one time, find these probabilities. Enter your answers as fractions or as decimals rounded to 3 decimal places. Part 1 of 3 (a) Getting a 1.

Solution

Solution Steps

Step 1: Identify the total number of possible outcomes

When rolling a die, there are 6 possible outcomes: $ \{1, 2, 3, 4, 5, 6\} $.

Step 2: Identify the number of favorable outcomes

The favorable outcome for part (a) is getting a 1. There is only 1 favorable outcome.

Step 3: Calculate the probability

The probability $ P(1) $ is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes: \[ P(1) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{6}. \]

Step 4: Present the final answer

\[ P(1) = \boxed{\frac{1}{6}} \]