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Example 33 - Coloured balls are distributed in four boxes - Examples

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  1. Chapter 13 Class 12 Probability
  2. Serial order wise
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Example 33 Coloured balls are distributed in four boxes as shown in the following table: A box is selected at random and then a ball is randomly drawn from the selected box. The colour of the ball is black, what is the probability that ball drawn is from the box III? We need to find out the Probability of the ball drawn is from box III if it is black. i.e. P(E3|A) P(E3|A)= 𝑃 𝐸3﷯.𝑃(𝐴|𝐸3)﷮𝑃 𝐸1﷯𝑃 𝐴|𝐸1﷯+𝑃 𝐸2﷯𝑃 𝐴|𝐸2﷯+𝑃 𝐸3﷯𝑃 𝐴|𝐸3﷯+𝑃 𝐸4﷯𝑃(𝐴|𝐸4)﷯ . = 1﷮28﷯﷮ 1﷮24﷯ + 1﷮16﷯ + 1﷮28﷯ + 1﷮13﷯ ﷯ = 0.165 Thus, required probability is 0.165

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