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MHT CET202122 Sep 2021Evening ShiftMathematicsProbabilityActual

First bag contains 3 red and 5 black balls and second bag contains 6 red and 4 black balls. A ball is drawn from each bag. The probability that one ball is red and the other is black, is

Options

  1. A41 80
  2. B21 40
  3. C3 20
  4. D3 8

Correct answer

B. 21 40

Step-by-step solution

Probability of drawing red ball from first bag = 3 8 and black ball = 5 8 Similarly probability of drawing red ball from second bag = 6 10 and black ball 4 10 Required probability = ( 3 8 4 10 )+ ( 5 8 6 10 )= 12+30 80 = 21 40

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