Question:
If the probability of an event occurring is 0.25, what is the probability that the event does not occur?
If the probability of an event occurring is 0.25, what is the probability that the event does not occur?
Updated On: Oct 6, 2025
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Solution and Explanation
Step 1: Recall the rule of complementary probability.
The sum of the probabilities of an event occurring and not occurring is always 1. \[ P(\text{event}) + P(\text{not event}) = 1 \]
Step 2: Substitute the given probability.
Given \( P(\text{event}) = 0.25 \), \[ 0.25 + P(\text{not event}) = 1 \]
Step 3: Solve for \( P(\text{not event}) \).
\[ P(\text{not event}) = 1 - 0.25 = 0.75 \]
Final Answer: \(\boxed{0.75}\)
Short Explanation (Why this works)
Every event has a complement — it either happens or it doesn’t. The total probability of all possible outcomes equals 1, so the probability of the event *not occurring* is \( 1 - P(\text{event}) = 0.75 \).
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