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There are 8 defective items in a sample of 24 items. One item is drawn at random. The probability that it is a non defective item is
  • a)
    1/2
  • b)
    2/3
  • c)
    1/3
  • d)
    1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
There are 8 defective items in a sample of 24 items. One item is drawn...
Number of Non-defective items = 24 – 8 = 16
Number of possible outcomes = 16
Number of Total outcomes = 24
Probability of getting a Non-defective item = 16/24=2/3
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Most Upvoted Answer
There are 8 defective items in a sample of 24 items. One item is drawn...
Probability of selecting a non-defective item from a sample:

To find the probability of selecting a non-defective item, we need to know the total number of items and the number of non-defective items in the sample.

Given:
Total number of items = 24
Number of defective items = 8

Calculating the number of non-defective items:

To find the number of non-defective items, we subtract the number of defective items from the total number of items.

Number of non-defective items = Total number of items - Number of defective items
Number of non-defective items = 24 - 8
Number of non-defective items = 16

Calculating the probability:

The probability of selecting a non-defective item can be calculated using the formula:

Probability = Number of favorable outcomes / Total number of possible outcomes

In this case, the favorable outcome is selecting a non-defective item, and the total number of possible outcomes is the total number of items in the sample.

Probability of selecting a non-defective item = Number of non-defective items / Total number of items
Probability of selecting a non-defective item = 16 / 24
Probability of selecting a non-defective item = 2/3

Therefore, the correct answer is option 'B' - 2/3.
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There are 8 defective items in a sample of 24 items. One item is drawn at random. The probability that it is a non defective item isa)1/2b)2/3c)1/3d)1Correct answer is option 'B'. Can you explain this answer?
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