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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability Exercise 30.4 Question 18 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability  Exercise 30.4 Question 18 Maths Textbook Solution.

Answers (1)

Answer:0.6976

Hint:P\left ( A \right )+P\left ( \bar{A} \right )=1

Given: 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 first, second, third and fourth shot are 0.4, 0.3, 0.2 and 0.1 respectively.

Solution:

Let,

      P (Gun hits the plane) = 1 – (Gun does not hit the plane)

       \begin{aligned} &P(A)=1-P(\bar{A}) \\ &\begin{aligned} P(\bar{A}) &=(1-0.4)(1-0.3)(1-0.2)(1-0.1) \\ &=0.6 \times 0.7 \times 0.8 \times 0.9 \\ &=0.3024 \\ P(A) &=1-0.3024 \\ P(A) &=0.6976 \end{aligned} \end{aligned}

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