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Q. 53

Expert-verified
Found in: Page 866

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# According to the American Pet Products Manufacturers Association, there is a 34% probability that a U.S. pet owner owns a cat. If a U.S. pet owner is randomly selected, what is the probability that he or she does not own a cat?

The probability is $0.66$

See the step by step solution

## Step 1. Given Information

The given data is that there is a 34% probability that a U.S. pet owner owns a cat.

## Step 2. Explanation

If E represents an event and $\overline{)E}$represents the complement of E then $P\left(\overline{)E}\right)=1-P\left(E\right)$. It is given that $P\left(E\right)=0.34$

Substitute the given value in the equation and find the required value.

$P\left(\overline{)E}\right)=1-P\left(E\right)\phantom{\rule{0ex}{0ex}}=1-0.34\phantom{\rule{0ex}{0ex}}=0.66$