If P(A) = 0.25, what is P(A^c)?

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Multiple Choice

If P(A) = 0.25, what is P(A^c)?

Explanation:
The probability of the complement A^c is found using the complement rule: the chances of A and not A together make up the entire sample space, which totals 1. So P(A^c) = 1 − P(A). With P(A) = 0.25, that gives P(A^c) = 1 − 0.25 = 0.75. This means the remaining 75% of outcomes are not in A. If you test other values, they would contradict the fact that all possibilities must sum to 1.

The probability of the complement A^c is found using the complement rule: the chances of A and not A together make up the entire sample space, which totals 1. So P(A^c) = 1 − P(A). With P(A) = 0.25, that gives P(A^c) = 1 − 0.25 = 0.75. This means the remaining 75% of outcomes are not in A. If you test other values, they would contradict the fact that all possibilities must sum to 1.

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