(c)Select the answer that makes the sentence true.−1Pnot X is the same as ▼(Choose one).

To answer the question, we'll first clarify what is being asked in terms of probability notation. The notation "-1Pnot X" can be interpreted as the probability of the complement of event X.

1. Break Down the Problem

   • We need to determine what "-1Pnot X" equals in probability terms.
   • "Pnot X" refers to the probability of the event not happening, which can be denoted as $P(\bar{X})$ or $1 - P(X)$.

2. Relevant Concepts

   • The probability of the complement of an event X is expressed as: $P(\text{not } X) = 1 - P(X)$

3. Analysis and Detail

   • If "-1Pnot X" suggests a negative form of this probability, we can express it mathematically: $-1P(\text{not } X) = -1(1 - P(X))$
   • This would yield $-P(X) + 1$.

4. Verify and Summarize

   • There seems to be ambiguity in interpreting "-1Pnot X". If interpreting strictly, it represents a negative scaling of the probability of $\text{not } X$.
   • Hence, we must choose the option that reflects this understanding.

Final Answer

The answer that makes the original sentence true should reflect the negative aspect of the probability of the event not occurring, thus the correct option would be: $-P(\text{not } X) = -1(1 - P(X))$

Without seeing the options, it would be inappropriate to choose one, but the expression aligns with the understanding of the complement's probability.