Question

you roll a 6 - sided die. what is p(1)? simplify your answer and write it as a fraction or whole number.

Explanation:

Step1: Determine total outcomes

A 6 - sided die has 6 possible outcomes: 1, 2, 3, 4, 5, 6. So the total number of possible outcomes \( n = 6 \).

Step2: Determine favorable outcomes

We want the probability of rolling a 1, so the number of favorable outcomes (rolling a 1) \( m = 1 \).

Step3: Calculate probability

The formula for probability is \( P(\text{event})=\frac{\text{number of favorable outcomes}}{\text{number of total outcomes}} \). Substituting the values, we get \( P(1)=\frac{1}{6} \).

Answer:

\(\frac{1}{6}\)