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MHT CET202123 Sep 2021Morning ShiftMathematicsProbabilityActual

If P ( A )= 3 10 , P ( B )= 3 5 , P ( A B )= 3 5 , then P ( A / B ) P ( B / A )=

Options

  1. A1 3
  2. B1 12
  3. C1 10
  4. D1 4

Correct answer

B. 1 12

Step-by-step solution

P ( A B ) P ( B A )= P ( A B ) P ( B ) P ( B A ) P ( A ) We know that P ( A B )= P ( A )+ P ( B )- P ( A B ) aligned & 3 5 = 3 10 + 2 5 - P ( A B ) P ( A B )= 1 10 & Given expression = ( 1 10 ) ( 2 5 ) ( 1 10 ) ( 3 10 ) = 1 4 1 3 = 1 12 aligned

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