Question

you roll a 6 - sided die. what is p(greater than 5 or divisor of 7)? simplify your answer and write it as a fraction or whole number.

Explanation:

Step1: Identify favorable outcomes

The numbers on a 6 - sided die are 1, 2, 3, 4, 5, 6. Numbers greater than 5 is 6. Divisors of 7 are 1 and 7, but since we are rolling a 6 - sided die, the relevant divisor is 1. The set of favorable outcomes is {1, 6}.

Step2: Calculate probability

The probability formula is $P(A)=\frac{n(A)}{n(S)}$, where $n(A)$ is the number of favorable outcomes and $n(S)$ is the number of all possible outcomes. Here, $n(A) = 2$ and $n(S)=6$. So $P=\frac{2}{6}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$