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MHT CET202015 Oct 2020Morning ShiftMathematicsProbabilityActual

If A and B are independent events and P(A)= 2 3 , P(B)= 3 5 , then P (A^ B )=

Options

  1. A4 15
  2. B3 5
  3. C2 5
  4. D1 5

Correct answer

D. 1 5

Step-by-step solution

P ( A )= 3 5 , P ( B )= 2 3 and A , B are independent events. aligned P(A B) &=P(A) P(B)= 3 5 2 3 = 2 5 P(A B) &=P(A)+P(B)-P(A B) &= 3 5 + 2 3 - 2 5 = 13 15 P(A B)^ &=1- 13 15 = 2 15 P (A^ B^ ) &=P(A B)^ = 2 15 aligned

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