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AP EAMCET2006MathematicsProbability

If A and B are two independent events such that P(B)= 2 7 , P (A B^c )=0.8 , then P(A) is equal to :

Options

  1. A0.1
  2. B0.2
  3. C0.3
  4. D0.4

Correct answer

C. 0.3

Step-by-step solution

P(B)= 2 7 and P (A B^c )=0.8P (B^c )=1- 2 7 = 5 7 We know that P (A B^c )=P(A)+P (B^c )-P(A) P (B^c ) 0.8=P(A)+ 5 7 - 5 7 P(A)0.8= 5 7 + 2 7 P(A) 5.6-5=2 P(A) P(A)=0.3

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