Question: If a box contains 4 defective and 16 non-defective items, what is the probability of selecting a non-defective item?
Options:
1/5
4/20
4/16
16/20
Correct Answer: 16/20
Solution:
The probability of selecting a non-defective item is 16/(4+16) = 16/20 = 4/5.
If a box contains 4 defective and 16 non-defective items, what is the probabilit
Practice Questions
Q1
If a box contains 4 defective and 16 non-defective items, what is the probability of selecting a non-defective item?
1/5
4/20
4/16
16/20
Questions & Step-by-Step Solutions
If a box contains 4 defective and 16 non-defective items, what is the probability of selecting a non-defective item?
Step 1: Identify the total number of items in the box. There are 4 defective items and 16 non-defective items.
Step 2: Calculate the total number of items by adding the defective and non-defective items together: 4 + 16 = 20.
Step 3: Identify the number of non-defective items, which is 16.
Step 4: To find the probability of selecting a non-defective item, divide the number of non-defective items by the total number of items: 16 / 20.
Step 5: Simplify the fraction 16 / 20 to its simplest form: 16 / 20 = 4 / 5.
Probability Calculation – Understanding how to calculate the probability of an event by dividing the number of favorable outcomes by the total number of possible outcomes.
Total Outcomes – Recognizing the importance of correctly identifying the total number of items when calculating probabilities.
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