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 8.

Answer 1

Probability is 4/12, or 1/3

Answer 2

Answer : The probability rolling a number greater than 8 is, $\frac{1}{3}$

Step-by-step explanation :

Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}$

Favorable outcomes are, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Now we have to calculate the probability rolling a number greater than 8.

Favorable outcomes rolling a number greater than 8 are, 9, 10, 11, 12

Number of favorable outcomes rolling a number greater than 8 = 4

Total number of outcomes = 12

$\text{Probability}=\frac{\text{Number of favorable outcomes rolling a number greater than 8}}{\text{Total number of favorable outcomes}}$

$\text{Probability}=\frac{4}{12}$

$\text{Probability}=\frac{1}{3}$

Thus, the probability rolling a number greater than 8 is, $\frac{1}{3}$