If the probability of winning a prize in a raffle is 0.025, what is the probability of not winning a prize?

Break Down the Problem

1. Determine the probability of winning a prize in the raffle, which is given as $P(\text{Winning}) = 0.025$.
2. Use the complementary probability to find the probability of not winning a prize.

Relevant Concepts

3. The probability of not winning can be found using the formula for the complement of an event: $P(\text{Not Winning}) = 1 - P(\text{Winning})$

Analysis and Detail

4. Substitute the value of the winning probability into the formula: $P(\text{Not Winning}) = 1 - 0.025$

5. Perform the subtraction: $P(\text{Not Winning}) = 0.975$

Verify and Summarize

6. Verify that the sum of both probabilities equals 1: $P(\text{Winning}) + P(\text{Not Winning}) = 0.025 + 0.975 = 1$

Final Answer

The probability of not winning a prize in the raffle is $\boxed{0.975}$.