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JEE Main20208 Jan 2020Morning ShiftMathematicsProbabilityActual

Let A and B be two independent events such that P A = 1 3 and P B = 1 6 . Then, which of the following is true?

Options

  1. AP A B = 2 3
  2. BP A B ' = 1 3
  3. CP A ' B ' = 1 3
  4. DP A A ∪ B = 1 4

Correct answer

B. P A B ' = 1 3

Step-by-step solution

A & B are independent events, so P A B ' = P ( A ∩ B ' ) P ( B ' ) = P ( A ) · P ( B ' ) P ( B ' ) = P ( A ) = 1 3

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