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Given three indentical bags each containing 10 balls, whose colours are as follows : array cccc & Red & Blue & Green Bag I & 3 & 2 & 5 Bag II & 4 & 3 & 3 Bag III & 5 & 1 & 4 array A person chooses a bag at random and takes out a ball. If the ball is Red, the probability that it is from bag I is p and if the balls is Green, the probability that it is from bag III is q , then the value of ( 1 p + 1 q ) is :

Options

  1. A6
  2. B9
  3. C7
  4. D8

Correct answer

C. 7

Step-by-step solution

p = P ( B _ I R )= 1 3 ( 3 10 ) 1 3 ( 3 10 + 4 10 + 5 10 ) = 1 4 aligned & q = ( B _ III G )= 1 3 ( 4 10 ) 1 3 ( 5 10 + 3 10 + 4 10 ) = 1 3 & 1 p + 1 q =7 aligned

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