you roll a 6 - sided die. what is p(less than 4)? write your answer as a percentage.

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 $n = 6$.

Step2: Determine favorable outcomes

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

Step3: Calculate probability

The probability formula is $P=\frac{m}{n}$. Substituting $m = 3$ and $n = 6$, we get $P=\frac{3}{6}=\frac{1}{2}$.

Step4: Convert to percentage

To convert $\frac{1}{2}$ to a percentage, we multiply by 100. So $P=\frac{1}{2}\times100% = 50%$.

Answer:

50%