Answer :
Final answer:
The question is about the mathematical concept of sample spaces, specifically about listing all possible three-digit numbers that can be formed using the digits 1, 9, 5, and 3 without repetition. All possible combinations were listed, and it was noted that none of the given options in the question contained all possible outcomes.
Explanation:
In this problem, a three-digit number is formed using the digits 1, 9, 5, and 3, without repetition. This means that once a digit is used, it cannot be used again in the formation of that number.
The sample space, that is the set of all possible outcomes, would include every possible combination of these four digits in a three-digit number. Let's list them:
- 195, 159, 159, 513
- 531, 915, 951
- 319, 351, 391
- 395, 935, 931
- 591, 519, 913
- 931, 951, 915
So, the correct option is none of the above since all the possible three-digit numbers formed from the digits 1, 9, 5, and 3 are not listed in the options given in the question.
Learn more about Sample Space here:
https://brainly.com/question/34689675
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