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AP EAMCET202120 Aug 2021Evening ShiftMathematicsProbabilityActual

Box-I contains 3 cards bearing numbers 1 , 2 , 3 ; Box II contains 5 cards bearing numbers 1 , 2 , 3 , 4 , 5 and Box III contains 7 cards bearing numbers 1 , 2 , 3 , 4 , 5 , 6 , 7 . One card is drawn at random from each of the boxes. If x i be the number on the card drawn from the i th box, i = 1 , 2 , 3 then the probability that x 1 + x 2 + x 3 is odd is equal to

Options

  1. A23 105
  2. B53 105
  3. C43 105
  4. D33 105

Correct answer

B. 53 105

Step-by-step solution

Given:- Box-I contains 3 cards bearing numbers 1 , 2 , 3 . ∴   Probability of selection of even no. from box-I = 1 3 & Probability of selection of odd no. = 2 3 Box-II contains 5   cards bearing numbers 1 , 2 , 3 , 4 , 5 ∴   Probability of selection of even no. from box-II = 2 5 and probability of selection of odd no. = 3 5 Box-III contains 7 cards bearing the numbers 1 , 2 , 3 , 4 , 5 , 6 , 7 . ∴ Probability of selection even no. from Box-III = 3 7 and probability of selection of o

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