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Out of a day’s production, which is 1000 machine parts, 100 were found to be sub-standard. The probability that a part selected at random being up to the standard is
  • a)
    1/10
  • b)
    7/10
  • c)
    9/10
  • d)
    2/10
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Out of a day’s production, which is 1000 machine parts, 100 were...
Standard=1000-100=900
probaility=900/1000
             =9/10

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Community Answer
Out of a day’s production, which is 1000 machine parts, 100 were...
Understanding the Problem
In a day's production, the total number of machine parts produced is 1000. Out of these, 100 parts were found to be sub-standard. We need to determine the probability that a randomly selected part is up to standard.
Calculating Total Standards
- Total parts produced: 1000
- Sub-standard parts: 100
- Parts that are up to standard: 1000 - 100 = 900
Calculating Probability
The probability of selecting a part that is up to standard can be calculated using the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
In this case:
- Number of favorable outcomes (standard parts) = 900
- Total number of outcomes (total parts) = 1000
So, the probability is:
Probability = 900 / 1000
Simplifying the Probability
Now, simplify 900 / 1000:
- This can be simplified to 9 / 10.
Conclusion
Thus, the probability that a randomly selected machine part is up to standard is 9/10.
The correct option is:
- c) 9/10
This means there is a 90% chance that a part selected at random is of good quality.
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