Question

you roll a 6 - sided die. what is p(less than 6)? simplify your answer and write it 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 6 on a 6 - sided die are 1, 2, 3, 4, 5. So the number of favorable outcomes $n(A)=5$.

Step3: Calculate probability

The probability formula is $P(A)=\frac{n(A)}{n(S)}$. Substituting the values, we get $P(\text{less than }6)=\frac{5}{6}$.

Answer:

$\frac{5}{6}$