A machine is made of two parts A and B. The manufacturing process of each part is such that probability of defective in part A is $0.08$ and that B is $0.05$. What is the probability that the assembled part will not have any defect?

The correct answer is Option a: $0.934$. MTP June 2023 Series II

ProbabilityMTP June 2023 Series IIQuestion 2827 of 276

A machine is made of two parts A and B. The manufacturing process of each part is such that probability of defective in part A is $\displaystyle 0.08$ and that B is $\displaystyle 0.05$ . What is the probability that the assembled part will not have any defect?

Options

\displaystyle 0.934

\displaystyle 0.864

\displaystyle 0.85

\displaystyle 0.874

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option a — $\displaystyle 0.934$

All Options:

A $\displaystyle 0.934$
B $\displaystyle 0.864$
C $\displaystyle 0.85$
D $\displaystyle 0.874$

About This Chapter: Probability

Paper

Paper 3: Quantitative Aptitude

Weightage

5-7 Marks

Key Topics

Probability Operations, Expected Value

A logic-heavy chapter dealing with random experiments, events (mutually exclusive, exhaustive), set theory probability, conditional probability, and Bayes' Theorem. It forms the basis for Theoretical Distributions.

View Official ICAI Syllabus

Exam Strategy Tip

Always draw a quick Venn Diagram or tree when faced with 'At least one' or 'Only A but not B' wording. It saves you from double-counting.

Ready to Master Probability?

Practice all 276 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free

A machine is made of two parts A and B. The manufacturing process of each part is such that probability of defective in part A is 0.08\displaystyle 0.080.08 and that B is 0.05\displaystyle 0.050.05. What is the probability that the assembled part will not have any defect?