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Probability question

2022 · Shift 2 · Q35
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  5. /2022 · Shift 2 · Q35

Probability question

2022 · Shift 2 · Q35

JEE AdvancedMathematicsProbabilityMCQ+3 / −1
Suppose that Box-I contains 8 red, 3 blue and 5 green balls, Box-II contains 24 red, 9 blue and 15 green balls, Box-III contains 1 blue, 12 green and 3 yellow balls, Box-IV contains 10 green, 16 orange and 6 white balls. A ball is chosen randomly from Box-I; call this ball bbb. If bbb is red then a ball is chosen randomly from Box-II, if bbb is blue then a ball is chosen randomly from Box-III, and if bbb is green then a ball is chosen randomly from Box-IV. The conditional probability of the event 'one of the chosen balls is white' given that the event 'at least one of the chosen balls is green' has happened, is equal to
  1. A
    15256\frac{15}{256}25615​
  2. B
    316\frac{3}{16}163​
  3. C
    552\frac{5}{52}525​
  4. D
    18\frac{1}{8}81​
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