Question

a fair die is a cube with number 1 through 6 on the sides, represented as painted spots. if a fair die is rolled, what is the probability of number 6 landing face up? 1/6 1/3 1/2 1

Explanation:

Step1: Determine total number of outcomes

A fair die has 6 sides. So, total number of possible outcomes \( n(S)=6 \).

Step2: Determine number of favorable outcomes

We want the number 6 to land face - up. There is only 1 side with the number 6. So, number of favorable outcomes \( n(E) = 1 \).

Step3: Use the probability formula

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

Answer:

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