you roll a 6 - sided die. what is p(less than 5)? write your answer as a fraction or whole number.

Explanation:

Step1: Determine total outcomes

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

Step2: Determine favorable outcomes

The numbers less than 5 on a 6 - sided die are 1, 2, 3, 4. So the number of favorable outcomes $n(A) = 4$.

Step3: Calculate probability

The probability formula is $P(A)=\frac{n(A)}{n(S)}$. Substituting the values, we get $P(A)=\frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$