AP EAMCET · Maths · Probability
An urn A contains 4 white and 1 black ball; urn B contains 3 white and 2 black balls and urn C contains 2 white and 3 black balls. One ball is transferred randomly from A to B ; later one ball is transferred randomly from B to C. Finally, if a ball is drawn randomly from C, then the probability that it is a black ball is
- A \(\frac{7}{12}\)
- B \(\frac{89}{180}\)
- C \(\frac{101}{180}\)
- D \(\frac{17}{36}\)
Answer & Solution
Correct Answer
(C) \(\frac{101}{180}\)
Step-by-step Solution
Detailed explanation
A(4W,1B), B(3W,2B), C(2W,3B). Probability a black ball is drawn from C, \(P(B_C)\), is the sum of probabilities for four paths: 1. Ball A to B is W, Ball B to C is W, Draw from C is B:…
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