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Bag B₁ contains 6 white and 4 blue balls, Bag B₂ contains 4 white and 6 blue balls, and Bag B₃ contains 5 white and 5 blue balls. One of the bags is selected at random and a ball is drawn from it. If the ball is white, then the probability, that the ball is drawn from Bag B₂ , is :

Options

  1. A4 15
  2. B1 3
  3. C2 5
  4. D2 3

Correct answer

A. 4 15

Step-by-step solution

E₁: B a g B₁ is selected array lll B₁ & B₂ & B₃ 6W4B & 4 ~W 6 ~B & 5 ~W 5 ~B array E ₂: bag B ₂ is selected E₃: B a g B₃ is selected A : Drawn ball is white We have to find P ( E ₂ ~A )P ( E₂ A )= P (E₂ ) P ( A E₂ ) P (E₁ ) P ( A E₁ )+P (E₂ ) P ( A E₂ )+P (E₃ ) P ( A E₃ ) aligned & = 1 3 4 10 1 3 6 10 + 1 3 4 10 + 1 3 5 10 & = 4 15 aligned

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