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MHT CET20228 Aug 2022Evening ShiftMathematicsProbabilityActual

The probability that at least one of the events A and B occurs is 0.6 . If A and B occur simultaneously with probability 0.2 , then P (A^ )+P (B^ ) is equal to

Options

  1. A0.8
  2. B0.4
  3. C1.4
  4. D1.2

Correct answer

D. 1.2

Step-by-step solution

aligned & P(A B)=0.6 and P(A B)=0.2 & Now P (A^ )+P (B^ )=1-P(A)+1-P(B) & =2- P(A)+P(B) & =2- P(A B)+P(A B) & =2- 0.6+0.2 & =2-0.8 & =1.2 aligned

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