COMEDK · Maths · 36. Probability
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
- A \(0.6972\)
- B \(0.6875\)
- C \(0.64\)
- D \(0.6976\)
Answer & Solution
Correct Answer
(D) \(0.6976\)
Step-by-step Solution
Detailed explanation
The probability that the place does not hit is \(\begin{aligned} P(\text { FFFF }) &=(1-0.4)(1-0.3)(1-0.2)(1-0.1) \\ &=(0.6)(0.7)(0.8)(0.9)=0.3024 \end{aligned}\) The probability of hitting is \(1-0.3024=0.6976\)
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