FourteenFourteen

of the

100100

digital video recorders​ (DVRs) in an inventory are known to be defective. What is the probability that a randomly selected item is​ defective?

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Part 1

The probability is

enter your response here.

​(Type an integer or a decimal. Do not​ round.)

To find the probability that a randomly selected DVR from the inventory is defective, we can use the basic probability formula:

\[
P(\text{defective}) = \frac{\text{Number of defective DVRs}}{\text{Total number of DVRs}}
\]

From the problem:

- Number of defective DVRs = 14
- Total number of DVRs = 100

Now calculate the probability:

\[
P(\text{defective}) = \frac{14}{100} = 0.14
\]

Thus, the probability that a randomly selected DVR is defective is **0.14**.

Do you need more details or have any questions?

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Here are 5 related questions:
1. What is the probability that a randomly selected DVR is not defective?
2. If 50 DVRs are tested, how many would you expect to be defective?
3. How would the probability change if there were 200 DVRs and 28 defective ones?
4. What is the complementary probability of selecting a non-defective DVR?
5. How would you calculate the probability if you randomly selected 2 DVRs?

**Tip:** When calculating probabilities, always ensure that the total count (denominator) reflects the full set of outcomes.

Fourteen of the 100 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability that a randomly selected item is defective?

Learn how to calculate the probability that a randomly selected DVR is defective. This problem uses basic probability concepts and fraction calculations to determine that the probability is 0.14. Suitable for students in Grades 6-8.

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