14
QuizMultiple Choice

Applications of Probability — Test

Question 14 • Geometry

Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of the sample space represents the complement of the event in which the number 6 is drawn from the bag. Which shows subset cap A ?

Answer
A
cap A is equal to 6
B
cap A is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 7 comma 8
C
cap A is equal to 1 comma 3 comma 5 comma 7
D
cap A is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8

Explanation

The sample space is {1, 2, 3, 4, 5, 6, 7, 8}. The event of drawing a 6 is {6}, so its complement contains every outcome except 6. Therefore, subset A is {1, 2, 3, 4, 5, 7, 8}, which is choice B.

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