Asked by Brianna Elizabeth on Jul 08, 2024
Verified
Suppose you have a perfectly fair 10-sided die,with sample space S = {1,2,3,4,5,6,7,8,9,10}.What is the event H,which is defined as any even-numbered roll?
A) H = {1,2,3,4,5}
B) H = {1,2,3,4,5,6,7,8,9,10}
C) H = {2,4,6,8,10}
D) H = {0 or 1}
Even-numbered Roll
In probability, a term referring to the outcome of rolling a die where the result is an even number (e.g., 2, 4, or 6).
Perfectly Fair
A term typically used in the context of games or algorithms to describe a condition where all participants have an equal chance of winning or an outcome is unbiased.
10-sided Die
A polyhedral die with ten flat faces, typically used in board games, role-playing games, and probability exercises.
- Attain familiarity with fundamental probability concepts and insights into the principle of sample spaces.
Verified Answer
JB
Joseph BianchiJul 10, 2024
Final Answer :
C
Explanation :
The event H includes any even-numbered roll, which is {2,4,6,8,10}. Therefore, the correct choice is C. Option A is incorrect because it includes odd numbers. Option B is also incorrect because it includes all numbers in the sample space, including odd numbers. Option D is incorrect because the die only has 10 sides, so it is not possible to roll a 0 or 1.
Learning Objectives
- Attain familiarity with fundamental probability concepts and insights into the principle of sample spaces.