Question

if a single 6 - sided die is tossed once, find the probability of rolling a number less than 3. the probability of rolling a number less than 3 is (simplify your answer.)

Explanation:

Step1: Determine total outcomes

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

Step2: Determine favorable outcomes

The 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:

$\frac{1}{3}$