Math Problem Statement
Solution
To find the probability of selecting a DVR that is not defective, we need to follow these steps:
- Total DVRs: 200
- Defective DVRs: 26
To get the number of non-defective DVRs, subtract the defective ones from the total number:
The probability of randomly selecting a non-defective DVR is the ratio of non-defective DVRs to the total number of DVRs:
So, the probability of selecting a non-defective DVR is 0.87.
Would you like further explanation or have any additional questions?
Here are some related questions to explore:
- How would the probability change if there were 30 defective DVRs instead of 26?
- What is the probability of selecting a defective DVR?
- How would you express this probability as a percentage?
- If 50 more DVRs are added, with 10 being defective, how does that affect the probability?
- How can you calculate the odds in favor of selecting a non-defective DVR?
Tip: Always remember that the probability is simply a ratio between the favorable outcomes and the total possible outcomes.
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Math Problem Analysis
Mathematical Concepts
Probability
Ratios
Formulas
P(not defective) = (Non-defective DVRs) / (Total DVRs)
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 6-8