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 less than 11.
the probability of rolling a number less than 11 is
(type an integer or a simplified fraction.)

Explanation:

Step1: Identify favorable outcomes

Numbers less than 11 in the set are 1,2,3,4,5,6,7,8,9,10. So there are 10 favorable outcomes.

Step2: Identify total outcomes

Total outcomes when rolling a 12 - sided die is 12 (since the set is {1,2,3,4,5,6,7,8,9,10,11,12}).

Step3: Calculate probability

Probability \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{10}{12}=\frac{5}{6} \)

Answer:

\(\frac{5}{6}\)