P(A^c) is what in terms of P(A)?

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Enhance your understanding of Descriptive Statistics and Probability. Study with interactive questions and detailed explanations. Prepare effectively for your test!

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P(A^c) is what in terms of P(A)?

The key idea is that A and its complement A^c partition the whole sample space, so their probabilities add up to 1. Since A^c includes all outcomes where A does not occur, P(A^c) must be 1 minus the probability that A occurs. Therefore, P(A^c) = 1 − P(A).

As context, if P(A) is 0.6, then the chance A does not happen is 0.4. The other expressions don’t hold in general: P(A^c) = P(A) would only be true in special cases (like P(A) = 0.5), P(A^c) = P(A) + P(A^c) would force P(A) = 0, and P(A^c) = 0 would mean A occurs with probability 1.

P(A^c) is what in terms of P(A)?

Enhance your understanding of Descriptive Statistics and Probability. Study with interactive questions and detailed explanations. Prepare effectively for your test!

P(A^c) is what in terms of P(A)?

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