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AP EAMCET · Maths · Probability

The following table shows the probability of selecting the boxes \(A, B\) and \(C\) and the number of balls of different colours contained in them.

  1. A \(\frac{1}{13}\)
  2. B \(\frac{6}{13}\)
  3. C \(\frac{5}{13}\)
  4. D \(\frac{7}{13}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{1}{13}\)

Step-by-step Solution

Detailed explanation

Probability of green ball \(P(G)\) \[ \begin{aligned} & =\frac{1}{2} \times \frac{2}{6}+\frac{1}{3} \times \frac{3}{6}+\frac{1}{6} \times \frac{1}{6}=\frac{1}{6}+\frac{1}{6}+\frac{1}{36} \\ & =\frac{6+6+1}{36}=\frac{13}{36} \end{aligned} \] Let probability of drawn ball is green…