Question

when rolling a die (number cube), what is the probability of rolling a 2 or a 3?
a. $\frac{1}{6}$
b. $\frac{2}{3}$
c. $\frac{1}{3}$
d. $\frac{1}{2}$
e. $\frac{5}{6}$

Explanation:

Step1: Determine total outcomes

A die has 6 faces, so total outcomes $n(S)=6$.

Step2: Determine favorable outcomes

Rolling a 2 or 3 are favorable. There are 2 favorable outcomes, so $n(A) = 2$.

Step3: Calculate probability

The probability formula is $P(A)=\frac{n(A)}{n(S)}$. Substituting values, we get $P(A)=\frac{2}{6}=\frac{1}{3}$.

Answer:

C. $\frac{1}{3}$