Question

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 $n(S)=6$.

Step2: Determine favorable outcomes

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

Step3: Calculate probability

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

Step4: Convert to percentage

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

Answer:

50%