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The product is assembled from parts A and B. The probability of defective parts A and B are 0.1 and 0.2 respectively. Then the probability of the assembly of A and B to be non defective is: 
  • a)
    0.7    
  • b)
    0.72  
  • c)
    0.8    
  • d)
    0.85 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The product is assembled from parts A and B. The probability of defect...
It is a case of mutually independent events. Probability that the part A is non-defective = 1 - 0.1 = 0.9
Probability that Part-B is non-defective, = 1 - 0.2 = 0.8
Hence, probability that both Part-A and Part-B are non-defective = 0.9 x 0.8 = 0.72.
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Most Upvoted Answer
The product is assembled from parts A and B. The probability of defect...
Probability of Defective Parts A and B
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Given that the probability of part A being defective is 0.1 and the probability of part B being defective is 0.2, we can calculate the probability of the assembly of A and B being non-defective using the complement rule.

Probability of a Non-Defective Part A:
The probability of part A being non-defective is equal to 1 minus the probability of it being defective.
So, the probability of part A being non-defective is 1 - 0.1 = 0.9.

Probability of a Non-Defective Part B:
Similarly, the probability of part B being non-defective is 1 - 0.2 = 0.8.

Probability of the Assembly being Non-Defective:
Since the assembly is made up of parts A and B, the probability of the assembly being non-defective is the product of the probabilities of both parts being non-defective.
So, the probability of the assembly being non-defective is 0.9 * 0.8 = 0.72.

Therefore, the correct answer is option 'B', 0.72.
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The product is assembled from parts A and B. The probability of defective parts A and B are 0.1 and 0.2 respectively. Then the probability of the assembly of A and B to be non defective is:a)0.7 b)0.72 c)0.8 d)0.85Correct answer is option 'B'. Can you explain this answer?
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The product is assembled from parts A and B. The probability of defective parts A and B are 0.1 and 0.2 respectively. Then the probability of the assembly of A and B to be non defective is:a)0.7 b)0.72 c)0.8 d)0.85Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The product is assembled from parts A and B. The probability of defective parts A and B are 0.1 and 0.2 respectively. Then the probability of the assembly of A and B to be non defective is:a)0.7 b)0.72 c)0.8 d)0.85Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The product is assembled from parts A and B. The probability of defective parts A and B are 0.1 and 0.2 respectively. Then the probability of the assembly of A and B to be non defective is:a)0.7 b)0.72 c)0.8 d)0.85Correct answer is option 'B'. Can you explain this answer?.
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