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The problem states that 67.5% of Americans believe that some psychics can help solve murder cases. To find the probability of randomly selecting someone who **does not believe** this, we calculate the complement of 67.5%.

### Solution
The probability that someone **does** believe is 67.5%, which is equivalent to 0.675. Therefore, the probability that someone **does not believe** is calculated as:

\[
\text{Probability (does not believe)} = 1 - 0.675 = 0.325
\]

Rounding 0.325 to three decimal places, we get:

\[
\boxed{0.325}
\]

Would you like a detailed explanation on the concept of complements in probability or have any other questions?

### Relative Questions
1. How do you calculate the probability of complementary events?
2. If 45% of a group likes a product, what is the probability that a random person from the group does not like it?
3. How is probability used to analyze survey data?
4. What does it mean if two events are mutually exclusive?
5. How would you calculate the probability of multiple independent events?

### Tip
When calculating complementary probabilities, always ensure that the sum of probabilities for an event and its complement is equal to 1.

A poll showed that 67.5% of Americans say they believe that some psychics can help solve murder cases. What is the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases? Round to 3 decimal places.

Calculate the probability of selecting someone who does not believe in psychics solving murder cases from a poll showing 67.5% believe in it. The solution applies the complement rule in probability. Ideal for students in Grades 6-8.

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