Question

what is the probability of rolling a 4 with a six - sided die?
a. 1/4
b. 1/5
c. 1/3
d. 1/6

Explanation:

Step1: Determine total outcomes

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

Step2: Determine favorable outcomes

Rolling a 4 is 1 favorable outcome. So \(n(E) = 1\).

Step3: Use probability formula

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

Answer:

d. \(1/6\)