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Part 1

SeventeenSeventeen 

of the 

5050 

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 use the formula for probability:

\[ \text{Probability} = \frac{\text{Number of defective DVRs}}{\text{Total number of DVRs}} \]

Given:
- Number of defective DVRs = 17
- Total number of DVRs = 50

Plugging in these values:

\[ \text{Probability} = \frac{17}{50} \]

To express this as a decimal:

\[ \frac{17}{50} = 0.34 \]

Therefore, the probability that a randomly selected DVR is defective is:

\[ 0.34 \]

Would you like more details or have any questions?

Here are 8 related questions to expand on this topic:

1. How would the probability change if the number of defective DVRs increased to 20 out of 50?
2. What is the probability of selecting a non-defective DVR from the inventory?
3. How can probabilities be expressed in percentages?
4. What are some real-life applications of calculating probabilities?
5. How do you calculate the probability of multiple independent events occurring?
6. What is the difference between theoretical probability and experimental probability?
7. How can you determine if a sample is large enough to represent the population accurately in probability?
8. What is a probability distribution, and how is it used?

**Tip:** Always ensure to express probabilities as values between 0 and 1 (or as percentages between 0% and 100%) to accurately represent the likelihood of an event.

Learn how to calculate the probability of selecting a defective DVR from an inventory with 17 defective DVRs out of 50. Understand the probability formula and its application. Suitable for students in Grades 9-12.

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