Question

you roll a 6 - sided die. what is p(3)? write your answer as a fraction or whole number.

Explanation:

Step1: Identify total outcomes

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

Step2: Identify favorable outcomes

The event of getting a 3 is a single - outcome event. So the number of favorable outcomes $n(E) = 1$.

Step3: Calculate probability

The probability formula is $P(E)=\frac{n(E)}{n(S)}$. Substituting $n(E) = 1$ and $n(S)=6$, we get $P(3)=\frac{1}{6}$.

Answer:

$\frac{1}{6}$