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AP EAMCET201824 Apr 2018Morning ShiftMathematicsProbabilityActual

Given that the probability of a man hitting a target with a gun is 1 3 . If he fires 8 times, then the probability of his hitting the target atleast twice is

Options

  1. A5 ( 2 3 )^8
  2. B1-5 ( 2 3 )^8
  3. C( 2 3 )^8
  4. D( 3 8 )^4

Correct answer

B. 1-5 ( 2 3 )^8

Step-by-step solution

Probability to hit the target = 1 3 Probability to not hit the target =1- 1 3 = 2 3 Probability to hit the target atleast twice is aligned & =P(2)+P(3)+P(4)+ +P(8) & =1-[P(0)+P(1)] & =1- [ ( 2 3 )^8+ ^8 C₁ ( 2 3 )^7 1 3 ] & =1- ( 2 3 )^7 [ 2 3 +8 1 3 ] & =1- ( 2 3 )^7 10 3 =1-5 ( 2 3 )^8 aligned

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