you roll a 6 - sided die. what is p(less than 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 $n(S)=6$.

Step2: Identify favorable outcomes

Numbers less than 3 on a 6 - sided die are 1 and 2. So $n(A) = 2$.

Step3: Calculate probability

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

Answer:

$\frac{1}{3}$