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COMEDK2017MathematicsProbability

An anti-aircraft gun can take a maximum of 4 shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first, second, third and fourth shot are 0.4,0.3,0.2 , 0.1 respectively. The probability that the gun hits the plane is

Options

  1. A0.6972
  2. B0.6875
  3. C0.64
  4. D0.6976

Correct answer

D. 0.6976

Step-by-step solution

The probability that the place does not hit is aligned P( FFFF ) &=(1-0.4)(1-0.3)(1-0.2)(1-0.1) &=(0.6)(0.7)(0.8)(0.9)=0.3024 aligned The probability of hitting is 1-0.3024=0.6976

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