ProbabilityMTP Sep 24 Series IIQuestion 3312 of 170
All Questions

A box contains 5\displaystyle 5 white and 7\displaystyle 7 black balls. Two successive drawn of 3\displaystyle 3 balls are made (i) with replacement (ii) without replacement. The probability that the first draw would produce white balls and the second draw would produce black balls are respectively.

Options

A6/321\displaystyle 6/321 and 3/926\displaystyle 3/926
B1/10\displaystyle 1/10 and 1/30\displaystyle 1/30
C35/144\displaystyle 35/144 and 35/108\displaystyle 35/108
D7/968\displaystyle 7/968 and 5/264\displaystyle 5/264
For any discrepancies in this question, email contact@cadada.in

Correct Answer

Option d7/968\displaystyle 7/968 and 5/264\displaystyle 5/264

All Options:

  • A6/321\displaystyle 6/321 and 3/926\displaystyle 3/926
  • B1/10\displaystyle 1/10 and 1/30\displaystyle 1/30
  • C35/144\displaystyle 35/144 and 35/108\displaystyle 35/108
  • D7/968\displaystyle 7/968 and 5/264\displaystyle 5/264

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.

More Questions from Probability

Ready to Master Probability?

Practice all 170 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free