Question

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

Explanation:

Step1: Determine total number of outcomes

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

Step2: Determine number of favorable outcomes

The event of getting a 6 is one outcome. So \(n(E) = 1\).

Step3: Calculate probability

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

Answer:

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