Question
A 12 -sided die is rolled. The set of equally likely outcomes is
Find the probability of rolling a number greater than 20 .
The probability of rolling a number greater than 20 is
(Type an integer or a simplified fraction.)
Find the probability of rolling a number greater than 20 .
The probability of rolling a number greater than 20 is
(Type an integer or a simplified fraction.)
Ask by Martin Burgess. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of rolling a number greater than 20 is 0.
Solution
Since the die has
which contains
The event of rolling a number greater than
However, none of the outcomes in the sample space is greater than
Thus the number of favorable outcomes is
The probability is given by
The probability of rolling a number greater than
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Simplify this solution Extra Insights
Since the die has only 12 sides, it can only roll numbers from 1 to 12. Therefore, the possibility of rolling a number greater than 20 is impossible.
The probability of this event is thus 0.
So, the answer is
