Question

a 12 - sided die is rolled. the set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. find the probability of rolling a number greater than 7. the probability of rolling a number greater than 7 is . (type an integer or a simplified fraction.)

Explanation:

Step1: Count favorable outcomes

The numbers greater than 7 in the set {1,2,3,4,5,6,7,8,9,10,11,12} are 8, 9, 10, 11, 12. So there are 5 favorable outcomes.

Step2: Determine total outcomes

There are 12 total possible outcomes when rolling the 12 - sided die.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{5}{12}$.

Answer:

$\frac{5}{12}$