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TS EAMCET · Maths · Probability

Bag A contains 4 white and 2 black balls, bag B contains 3 white and 3 black balls and bag C contains 2 white and 4 black balls. If a bag is chosen at random and a ball is chosen at random from it, then the probability that the ball drawn is black is

  1. A \(\frac{1}{3}\)
  2. B \(\frac{3}{4}\)
  3. C \(\frac{1}{2}\)
  4. D \(\frac{2}{3}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{1}{2}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{P}[\) Ball is black \(]=\mathrm{P}\left[1^{\text {st }}\right.\) bag selected \(] \times\) \[ \mathrm{P}\left[\frac{\text { Ball is black }}{1^{\text {st }} \text { bag selected }}\right] \]…